{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "div.output_prompt { visibility: hidden; }\n",
    "*{ font-family: \"Palatino Linotype\", \"Book Antiqua\", Palatino, serif !important }\n",
    ".input,#header { display: none; }"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Modified salinity water flooding\n",
    "The simplest model for the modify salinity water flooding assumes that the relative permeability of water and oil (mostly oil) is altered due to the change of the salinity of the injected water. Here, I follow the procedure described by Pope (SPE-7660) to find the fractional flow solution for the secondary and tertiary modified salinity water flooding. I will compare the analytical solution with a numerical solution (finite volume, upwind, fine mesh). Then, I will present a special case for the tertiary water flooding where the Pope's approach seems to give erroneous results. I then try to present an alternative solution procedure."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Secondary modified salinity water flood\n",
    "First, we inject the low salinity water to a reservoir that is not water flooded. The injected brine pushes the formation brine, and the formation brine pushes oil. Moreover, the injected brine mobilizes more oil, since it changes the transport properties of oil and water in the reservoir, i.e., has a different sets of relative permeability curves and fractional flow curve. Let's define the relative permeability curves, and visualize them. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.7233666450788676\n",
      "low sal breakthrough time = 0.7792345274868723\n",
      "high sal sw_shock = 0.5033633510803514\n",
      "high sal breakthrough time = 0.4749856705176971\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module FractionalFlow\n"
     ]
    }
   ],
   "source": [
    "include(\"FractionalFlow.jl\")\n",
    "using PyPlot\n",
    "FF = FractionalFlow\n",
    "fluids_hs = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "fluids_ls = FF.oil_water_fluids(mu_water=1e-3, mu_oil=2e-3)\n",
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=0.25, nw=2.0, no = 2.0)\n",
    "rel_perms_ls = FF.oil_water_rel_perms(krw0=0.3, kro0=0.95, \n",
    "        swc=0.15, sor=0.15, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "core_props = FF.core_properties()\n",
    "ls_res_sec = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3 style='padding: 10px'>high salinity (formation brine)</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.25</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h3 style='padding: 10px'>high salinity (formation brine)</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.25</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_relperm(rel_perms_hs, title=\"high salinity (formation brine)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3 style='padding: 10px'>low salinity (injected brine)</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.3</td><td>0.95</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.15</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h3 style='padding: 10px'>low salinity (injected brine)</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.3</td><td>0.95</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.15</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_relperm(rel_perms_ls, title=\"low salinity (injected brine)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3 style='padding: 10px'>core properties</h3><table class='table table-striped'><thead><tr><th>length</th><th>diameter</th><th>porosity</th><th>permeability</th></tr></thead><tbody><tr><td>0.15</td><td>0.03</td><td>0.3</td><td>1.0e-12</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h3 style='padding: 10px'>core properties</h3><table class='table table-striped'><thead><tr><th>length</th><th>diameter</th><th>porosity</th><th>permeability</th></tr></thead><tbody><tr><td>0.15</td><td>0.03</td><td>0.3</td><td>1.0e-12</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_core_properties(core_props, title = \"core properties\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3 style='padding: 10px'>viscosity</h3><table class='table table-striped'><thead><tr><th>mu_water</th><th>mu_oil</th></tr></thead><tbody><tr><td>0.002</td><td>0.001</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h3 style='padding: 10px'>viscosity</h3><table class='table table-striped'><thead><tr><th>mu_water</th><th>mu_oil</th></tr></thead><tbody><tr><td>0.002</td><td>0.001</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_fluids(fluids_hs, title = \"viscosity\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3 style='padding: 10px'>core flooding condition</h3><table class='table table-striped'><thead><tr><th>u_inj_m_s</th><th>pv_injected</th><th>Sw_init</th><th>Sw_inj</th></tr></thead><tbody><tr><td>1.15e-5</td><td>5.0</td><td>0.2</td><td>1.0</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h3 style='padding: 10px'>core flooding condition</h3><table class='table table-striped'><thead><tr><th>u_inj_m_s</th><th>pv_injected</th><th>Sw_init</th><th>Sw_inj</th></tr></thead><tbody><tr><td>1.15e-5</td><td>5.0</td><td>0.2</td><td>1.0</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_core_flood(core_flood, title=\"core flooding condition\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AaRGEAACA03K6OUIAAFyJmpoaVVVVObqMa5rZbG7QpfH1QRACAOBnVFVVKTs7WzU1NY4u5Zrm4uKi1q1by2w2N9oxCUIAAFyGYRjKycmRq6uroqKiGn3EwllcuOFxTk6OWrVq1Wg3PSYIAQBwGefPn1dFRYUiIiLk7e3t6HKuaS1atNCJEyd0/vx5ubu7N8oxibUAAFxGdXW1JDXq5RpndeE7vvCdNwaCEAAA9cDzKe3PEd8xQQgAADgthwah1atXKyUlRRERETKZTFq6dOnP7pOZmakePXrIw8NDsbGxWrhwof0LBQAA1ySHBqHy8nJ169ZN8+fPr1f/7Oxs3XzzzRo0aJC2bdumiRMnauzYsfr888/tXCkAAE1PQUGB7r//frVq1UoeHh4KCwtTcnKy1q1b5+jSrhoOXTU2bNgwDRs2rN79FyxYoNatW+uFF16QJHXo0EFr167Viy++qOTkZHuVWT+GIZ2rcGwNwJVw95aY+wBck37961+rqqpKb775ptq0aaO8vDxlZGTo5MmTji7tqtGkls9v2LBBQ4YMsWpLTk7WxIkTL7lPZWWlKisrLe9LSkrsU9y5CmlmhH0+G7CnqOulMcsJQ8A1pri4WGvWrFFmZqYSExMlSdHR0erTp48kafLkycrKytInn3wiSZo7d64mTZqkZcuW6aabbpIkxcbG6vHHH9fYsWMdcxKNoElNls7NzVVoaKhVW2hoqEpKSnTmzJmL7jNr1iz5+/tbXlFRUY1RKtB0HP2a0UzABoZhqKLqvENehmHUu05fX1/5+vpq6dKlVgMCFyQmJmrt2rWWpeqrVq1ScHCwMjMzJUnHjx/XgQMHlJSU1BBf21WrSY0IXYkpU6YoPT3d8r6kpMQ+YcjdW3riRMN/LmAvVRXSX2MdXQXQ5Jw5V62O0xwzN3X308nyNtfvp9vNzU0LFy7UuHHjtGDBAvXo0UOJiYm666671LVrVw0YMEClpaXaunWrevbsqdWrV+uRRx6xLFzKzMxUZGSkYmOv7f9PNKkgFBYWpry8PKu2vLw8+fn5ycvL66L7eHh4yMPDw/7FmUyS2cf+xwEAoJ5+/etf6+abb9aaNWv09ddfa9myZXr++ef1+uuva/To0erWrZsyMzNlNptlNpt17733avr06SorK9OqVassl9SuZU0qCCUkJOizzz6zaluxYoUSEhIcVBEAwNl4ubtq99OOWaDj5e5q8z6enp4aOnSohg4dqqlTp2rs2LGaPn26Ro8eraSkJGVmZsrDw0OJiYkKCgqyLERatWqVHn74YTucxdXFoUGorKxM+/fvt7zPzs7Wtm3bFBQUpFatWmnKlCk6fvy43nrrLUnSfffdp3nz5unRRx/VmDFj9NVXX+n999/Xp59+6qhTAAA4GZPJVO/LU1ejjh07Wi5/JSYm6o033pCbm5tlgnRSUpLeffdd7du375qfHyQ5eLL0pk2b1L17d3Xv3l2SlJ6eru7du2vatGmSpJycHB05csTSv3Xr1vr000+1YsUKdevWTS+88IJef/11xy+dBwDgKnPy5EkNHjxYb7/9tr777jtlZ2frgw8+0PPPP69bb71VkjRw4ECVlpbqk08+sYSepKQkLVq0SOHh4WrXrp0Dz6BxODTSJiUlXXYG/MXuGp2UlKStW7fasSoAAJo+X19f9e3bVy+++KIOHDigc+fOKSoqSuPGjdMTTzwhSQoMDFSXLl2Ul5en9u3bS6oNRzU1NU4xP0hqYnOEAABA/Xh4eGjWrFmaNWvWZftt27bN6n1QUJBqamrsWdpVpUndRwgAAKAhEYQAAIDTIggBAACnRRACAABOiyAEAACcFkEIAAA4LYIQAABwWgQhAADgtAhCAADAaRGEAACA0yIIAQBwDUpKStLEiRMdXcZVjyAEAIATMgxD58+fd8ixq6qqHHLciyEIAQBwjRk9erRWrVqll156SSaTSSaTSQsXLpTJZNKyZcvUs2dPeXh4aO3atTpw4IBuvfVWhYaGytfXV71799aXX35p9XmVlZV67LHHFBUVJQ8PD8XGxuqf//ynZfvOnTs1bNgw+fr6KjQ0VPfcc48KCwst25OSkvTAAw9o4sSJCg4OVnJycqN9Fz+HIAQAgC0MQ6oqd8zLMOpV4ksvvaSEhASNGzdOOTk5ysnJUVRUlCTp8ccf1+zZs7Vnzx517dpVZWVlGj58uDIyMrR161bddNNNSklJ0ZEjRyyfl5qaqnfffVcvv/yy9uzZo7///e/y9fWVJBUXF2vw4MHq3r27Nm3apOXLlysvL0933nmnVU1vvvmmzGaz1q1bpwULFjTQP8b/zs3RBQAA0KScq5BmRjjm2E+ckMw+P9vN399fZrNZ3t7eCgsLkyRlZWVJkp5++mkNHTrU0jcoKEjdunWzvH/mmWf0n//8Rx9//LEeeOAB7du3T++//75WrFihIUOGSJLatGlj6T9v3jx1795dM2fOtLS98cYbioqK0r59+9SuXTtJUlxcnJ5//vn/4eTtgyAEAIAT6dWrl9X7srIyPfXUU/r000+Vk5Oj8+fP68yZM5YRoW3btsnV1VWJiYkX/bzt27dr5cqVlhGinzpw4IAlCPXs2bOBz6RhEIQAALCFu3ftyIyjjv0/8vGxHlGaPHmyVqxYob/+9a+KjY2Vl5eX7rjjDsuEZi8vr8t+XllZmVJSUvTcc8/V2RYeHn7J414tCEIAANjCZKrX5SlHM5vNqq6u/tl+69at0+jRo3X77bdLqg02hw4dsmzv0qWLampqtGrVKsulsZ/q0aOHPvroI8XExMjNrenFCiZLAwBwDYqJidE333yjQ4cOqbCwUDU1NRftFxcXpyVLlmjbtm3avn27fvvb31r1jYmJ0ahRozRmzBgtXbpU2dnZyszM1Pvvvy9J+uMf/6iioiKNHDlS3377rQ4cOKDPP/9caWlp9QpijkYQAgDgGjR58mS5urqqY8eOatGihdUqsJ+aM2eOAgMD1a9fP6WkpCg5OVk9evSw6vPqq6/qjjvu0Pjx49W+fXuNGzdO5eXlkqSIiAitW7dO1dXVuvHGG9WlSxdNnDhRAQEBcnG5+mOGyTDquRbvGlFSUiJ/f3+dPn1afn5+ji4HcJyq8h9XvtRzJQrgjM6ePavs7Gy1bt1anp6eji7nmna579pev99Xf1QDAACwE4IQAABwWgQhAADgtAhCAADAaRGEAACoBydbW+QQjviOCUIAAFyGq6urJFnutAz7ufAdX/jOG0PTuwUkAACNyM3NTd7e3iooKJC7u3uTuDdOU1RTU6OCggJ5e3s36h2qCUIAAFyGyWRSeHi4srOzdfjwYUeXc01zcXFRq1atZDKZGu2YBCEAAH6G2WxWXFwcl8fszGw2N/qIG0EIAIB6cHFx4c7S1yAudAIAAKdFEAIAAE6LIAQAAJwWQQgAADgtghAAAHBaBCEAAOC0CEIAAMBpEYQAAIDTIggBAACnRRBqQIZhOLoEAABgA4JQAzlTVa1fzFmlWcv2aH9+maPLAQAA9cCzxhrI57tydbCgXH9fdVB/X3VQ3VsF6I6eLfXLLhHy93Z3dHkAAOAiCEIN5Oau4fIyu+qDTUe1cm+Bth4p1tYjxZrx390a0iFEt3dvqaTrWsjdlUE4AACuFgShBuLu6qLkTmFK7hSm/NKz+n9bT+ijLceUlVuqz3bk6rMduQr0dtfNXcN1W3ykerQKlIuLydFlAwDg1EyGk83wLSkpkb+/v06fPi0/Pz+7HsswDO06UaL/bD2u/7fthArLKi3bIgO8lNItQrd0i1CH8GYymQhFaGRV5dLMiNq/nzghmX0cWw8AXIa9fr8JQo3kfHWN1h84qaXbjuvznbkqr6q2bGvTwke/7BqhlK7higtt1mg1wckRhAA0IQShBuKoIPRTZ89VK2NPvj7eflwr9xao6nyNZVu7UF8N7xKu4V3CFRfiy0gR7IcgBKAJIQg1kKshCP1U6dlz+nJPnj7ZnqPV3xfoXPWP/xxtWvhoWOcwDescrk4RfoQiNCyCEIAmhCDUQK62IPRTp8+c05e78/TZjhyt+b5QVdU/jhRFBngpuVOYbuwUql7RgXJj9Rn+VwQhAE0IQaiBXM1B6KdKz57TV1n5WrYjV6v2FejMuR/nFAV6u2tw+1Dd2ClUA+KC5W1m8R+uAEEIQBNir99vfkGvUs083XVrfKRujY/Umapqrfm+QMt35SpjT75OVZzTR1uO6aMtx+Th5qIbYoM1pEOoftEhRKF+no4uHQCAJoMg1AR4mV11Y6cw3dgpTOeqa/TtoSKt2J2nFbvzdOzUGX2Vla+vsvKl/0idI/00+LoQDWofom4tA7hXEQAAl8GlsSbMMAztzStVxp58fbknT9uOFuun/5rNfcxKvK6FBl0XooFxLXjUB6xxaQxAE8IcoQZyLQWh/6uwrFIrs/K1cm++Vu8rVFnlecs2F5PUo1Wgkq5rocR2IeoU4cdokbMjCAFoQuz1++3wpUfz589XTEyMPD091bdvX23cuPGy/efOnavrrrtOXl5eioqK0qRJk3T27NlGqvbqFuzrod/0itLf7u6pLVOH6p1xfXXvwDaKDfFVjSFtOnxKf/1in1LmrVXvZ7/UxPe2asmWY8ov5fsDADgnh84RWrx4sdLT07VgwQL17dtXc+fOVXJysvbu3auQkJA6/d955x09/vjjeuONN9SvXz/t27dPo0ePlslk0pw5cxxwBlcvs5uL+rUNVr+2wXpieAcdO1WhVfsKlLm3QOv3F+pkeZWWbjuhpdtOSJI6hPtpYFyw+scFq3dMkDzdXR18BgAA2J9DL4317dtXvXv31rx58yRJNTU1ioqK0oMPPqjHH3+8Tv8HHnhAe/bsUUZGhqXt4Ycf1jfffKO1a9fW65jX8qWx+qo6X6MtR05p9b4Crf6+QDuPl1ht93BzUe+YIPWPC1b/2GB1DOcy2jWJS2MAmpBrbvl8VVWVNm/erClTpljaXFxcNGTIEG3YsOGi+/Tr109vv/22Nm7cqD59+ujgwYP67LPPdM8991zyOJWVlaqs/PFhpyUlJZfs6yzMbi66vk1zXd+muR69qb1OllVq7f5Crfm+UGu+L1BeSe37tfsLJUkB3u5KaNNc/WKD1a9tc7UJ9uEu1wCAa4LDglBhYaGqq6sVGhpq1R4aGqqsrKyL7vPb3/5WhYWF6t+/vwzD0Pnz53XffffpiSeeuORxZs2apRkzZjRo7dea5r4elnsWGYahAwVlWvt9bRD6+mCRiivOadnOXC3bmStJCvPzVL+2zZXww6tloLeDzwAAgCvTpO4jlJmZqZkzZ+pvf/ub+vbtq/379+uhhx7SM888o6lTp150nylTpig9Pd3yvqSkRFFRUY1VcpNjMpkUG9JMsSHNNPqG1jpfXaPtx05r3f5CrT9QqC2Hi5VbclZLth7Xkq3HJUlRQV5K+GGE6fo2zRUR4OXgswAAoH4cFoSCg4Pl6uqqvLw8q/a8vDyFhYVddJ+pU6fqnnvu0dixYyVJXbp0UXl5ue6991796U9/kotL3UVwHh4e8vDwaPgTcBJuri7qGR2ontGBmvCLOJ2pqtbmw6e04WCh1h84qe+OndbRojM6WnRM7286JklqFeSt69sEqW/r5urbJogRIwDAVcthQchsNqtnz57KyMjQbbfdJql2snRGRoYeeOCBi+5TUVFRJ+y4utaubnKy2yE5jJfZtXYSdVywJKms8ry+PVSkrw+e1NcHTmrniRIdKarQkaIKSzCKDPBS39ZB6tsmSL1jgtSaOUYAgKuEQy+Npaena9SoUerVq5f69OmjuXPnqry8XGlpaZKk1NRURUZGatasWZKklJQUzZkzR927d7dcGps6dapSUlIsgQiNy9fDTYOuC9Gg62pvd1B69pw2HT6lrw+e1DcHi7Tj+GkdLz5jdSkt2NdDvWMC1ad1bTDqEO4nV1alAQAcwKFBaMSIESooKNC0adOUm5ur+Ph4LV++3DKB+siRI1YjQE8++aRMJpOefPJJHT9+XC1atFBKSoqeffZZR50C/o9mnu5Wwai88ry2HDmlbw4WaWN2kbYdK1ZhWaXV5GtfDzf1iA5U7+hA9YoJUnxUgLzMBFsAgP3xiA00qrPnqvVNYEs5AAAgAElEQVTdsdP69lBtMNpy+JRKf/IoEElyczGpU6S/ekUHqld0oHrGBCqkmaeDKr6GcR8hAE0IzxprIAShq0t1jaGs3BJtOnRKGw8VadOhIuWVVNbp1yrIW72iA9Xjh4nb7UKbcTntf0UQAtCEXHM3VAQkydXFpE4R/uoU4a9R/WJkGIaOnTqjTYeLtOnQKW0+fEp780otE7AvzDPy9XBTfFSAerQKUPfoQPWICpS/t7uDzwYA0NQQhHBVMZlMigryVlSQt27v3lKSVHL2nLYeKdbmw6e0+XCRth0pVlnleau7X0tS2xY+6tGqdtSoe6sAxYUwagQAuDyCEK56fp7uSmzXQontWkiqvZy2N7dUW46c0pYjp7T1SLGyC8t1oKD29cHm2mX7PmZXdYsKUHxUgLq3ClS3KH/mGgEArBCE0OS4upjUMcJPHSP89LvroyVJReVV2vqTYLT9aLHKq6q1/sBJrT9w0rJvZICX4n8IR/GtAtQ5wp8VagDgxAhCuCYE+Zj1iw6h+kWH2lsvVNcY2pdXqm1Hi7X1yCltO1qs7/PLdLz4jI4Xn9GnO3Ik1Yaq60Kb/TBy5K9uUVxSAwBnQhDCNcnVxaQO4X7qEO6nkX1aSaq92eOOY6e19Wixtv3wKiit1O6cEu3OKdG7G2v39Ta7qnOEv7pF+atrywB1axmgqCAv7oYNANcgghCcRjNPd/WLDVa/2NrHgxiGoZzTZ7XtaLG2H6u9nLbj2GmVV1Vr46EibTxUZNk30NtdXVoGqFvL2nDUtaW/Qv2YbwQATR1BCE7LZDIpIsBLEQFeGt4lXFLtJbWDBWXadrRY3x07re3HirUnp0SnKs5p9b4Crd5XYNk/1M9DXSJrQ1GXlv7qGumv5r484BcAmhKCEPATri4mxYU2U1xoM/2mV5QkqfJ8tbJySvXdsWJtP3ZaO46d1vf5pcorqVReSZ6+3JNn2T8ywEudI/3UtWWAOkf6q0ukv4J8zI46HQDAzyAIAT/Dw612GX63qADd80NbeeV57c4p0fajxdp5/LS+O3ZaBwvLLZOxP99lHY66RPqrc6SfJRwxcgQAVweCEHAFfDzc1DsmSL1jgixtpWfPaefxktpgdPy0dh4/reyfhKPlu3ItfSP8PdU50v+HV21A4h5HAND4CEJAA2nm6a6Ets2V0La5pa3k7Dnt+iEc7fghHB0sLNeJ02d14vRZfbH7x5GjkGYetcEowk8dI2oDUmQAq9UAwJ4IQoAd+V0kHJWePafdJ0q04/hp7frhvwcLypRfWqmvsvL1VVa+pW+At7s6Rfipc4S/Okb4qVOEv1oH+3CfIwBoIAQhoJE183RX3zbN1bfNj+Goouq89uSUaNeJ2tGjncdLtC+vVMUV57Ru/0mt2//j3bG9za7qEO6nThEXXv6KC/WVhxt3yAYAWxGEgKuAt9lNPaOD1DP6xzlHleertS+3TLtOnNbOE7WjR3tySlRRVf3DA2hPWfq6uZgUG+KrThH+6vTD40c6RvjJz9PdEacDAE0GQQi4Snm4uarLD/couuDCfY52nSjRrh/C0a4TJTp95pyyckuVlVuqj7b8+BlRQV7qFF57Wa1jeG04Cvf3ZN4RAPyAIAQ0IT+9z9Ft3SMl1d4h+8Tps9p1/MdgtCenRMeLz+hoUe3rpyvWAr3d1THCT11buOsxR50IAFwlCEJAE2cymRQZ4KXIAC/d2CnM0l5cUaXdJ2qfo3YhHH2fX6ZTP8w72rL/rB77YcX+qn0FSuzs46AzAADHIQgB16gAb7PVs9Uk6ey5au3Pr513tP9YvrS9tv3LPXlK7BzjmEIBwIEIQoAT8XR3tdzIUd2aW4JQdHNGgwA4JxdHFwAAAOAoBCEAAOC0CEIAAMBpEYQAAIDTIggBAACnRRACAABOiyAEAACcFkEIAAA4LYIQAABwWgQhAADgtAhCAADAaRGEAACA0yIIAQAAp0UQAgAATosgBAAAnBZBCAAAOC23K9mpuLhYGzduVH5+vmpqaqy2paamNkhhAAAA9mZzEPrvf/+ru+++W2VlZfLz85PJZLJsM5lMBCEAANBk2Hxp7OGHH9aYMWNUVlam4uJinTp1yvIqKiqyR40AAAB2YXMQOn78uCZMmCBvb2971AMAANBobA5CycnJ2rRpkz1qAQAAaFQ2zxG6+eab9cgjj2j37t3q0qWL3N3drbbfcsstDVYcAACAPdkchMaNGydJevrpp+tsM5lMqq6u/t+rAgAAaAQ2B6H/u1weAACgqeKGigAAwGldURBatWqVUlJSFBsbq9jYWN1yyy1as2ZNQ9cGAABgVzYHobfffltDhgyRt7e3JkyYoAkTJsjLy0u/+MUv9M4779ijRgAAALuweY7Qs88+q+eff16TJk2ytE2YMEFz5szRM888o9/+9rcNWiAAAIC92DwidPDgQaWkpNRpv+WWW5Sdnd0gRQEAADQGm4NQVFSUMjIy6rR/+eWXioqKapCiAAAAGoPNl8YefvhhTZgwQdu2bVO/fv0kSevWrdPChQv10ksvNXiBAAAA9mJzELr//vsVFhamF154Qe+//74kqUOHDlq8eLFuvfXWBi8QAADAXmwOQpJ0++236/bbb2/oWgAAABoVN1QEAABOq14jQkFBQdq3b5+Cg4MVGBgok8l0yb5FRUUNVhwAAIA91SsIvfjii2rWrJnl78sFIVvNnz9ff/nLX5Sbm6tu3brplVdeUZ8+fS7Zv7i4WH/605+0ZMkSFRUVKTo6WnPnztXw4cMbrCYAAOAc6hWERo0aZfl79OjRDXbwxYsXKz09XQsWLFDfvn01d+5cJScna+/evQoJCanTv6qqSkOHDlVISIg+/PBDRUZG6vDhwwoICGiwmgAAgPOweY6Qq6ur8vPz67SfPHlSrq6uNn3WnDlzNG7cOKWlpaljx45asGCBvL299cYbb1y0/xtvvKGioiItXbpUN9xwg2JiYpSYmKhu3brZehoAAAC2ByHDMC7aXllZKbPZXO/Pqaqq0ubNmzVkyJAfi3Fx0ZAhQ7Rhw4aL7vPxxx8rISFBf/zjHxUaGqrOnTtr5syZqq6uvuRxKisrVVJSYvUCAACQbFg+//LLL0uSTCaTXn/9dfn6+lq2VVdXa/Xq1Wrfvn29D1xYWKjq6mqFhoZatYeGhiorK+ui+xw8eFBfffWV7r77bn322Wfav3+/xo8fr3Pnzmn69OkX3WfWrFmaMWNGvesCAADOo95B6MUXX5RUOyK0YMECq8tgZrNZMTExWrBgQcNX+BM1NTUKCQnRP/7xD7m6uqpnz546fvy4/vKXv1wyCE2ZMkXp6emW9yUlJTwKBAAASLIhCF14oOqgQYO0ZMkSBQYG/k8HDg4Olqurq/Ly8qza8/LyFBYWdtF9wsPD5e7ubhXCOnTooNzcXFVVVV300pyHh4c8PDz+p1oBAMC1yeY5QitXrvyfQ5BUO4rUs2dPqwe41tTUKCMjQwkJCRfd54YbbtD+/ftVU1Njadu3b5/Cw8Ntmp8EAAAgXeEjNo4dO6aPP/5YR44cUVVVldW2OXPm1Ptz0tPTNWrUKPXq1Ut9+vTR3LlzVV5errS0NElSamqqIiMjNWvWLEm1zzmbN2+eHnroIT344IP6/vvvNXPmTE2YMOFKTgMAADg5m4NQRkaGbrnlFrVp00ZZWVnq3LmzDh06JMMw1KNHD5s+a8SIESooKNC0adOUm5ur+Ph4LV++3DKB+siRI3Jx+XHQKioqSp9//rkmTZqkrl27KjIyUg899JAee+wxW08DAABAJuNS6+EvoU+fPho2bJhmzJihZs2aafv27QoJCdHdd9+tm266Sffff7+9am0QJSUl8vf31+nTp+Xn5+focgDHqSqXZkZIkl4fuE5jB3d2cEEAcGn2+v22eY7Qnj17lJqaKklyc3PTmTNn5Ovrq6efflrPPfdcgxUGAABgbzYHIR8fH8u8oPDwcB04cMCyrbCwsOEqAwAAsDOb5whdf/31Wrt2rTp06KDhw4fr4Ycf1o4dO7RkyRJdf/319qgRAADALmwOQnPmzFFZWZkkacaMGSorK9PixYsVFxdn04oxAAAAR7MpCFVXV+vYsWPq2rWrpNrLZPa+mzQAAIC92DRHyNXVVTfeeKNOnTplr3oAAAAajc2TpTt37qyDBw/aoxYAAIBGZXMQ+vOf/6zJkyfrk08+UU5OjkpKSqxeAAAATYXNk6WHDx8uSbrllltkMpks7YZhyGQyqbq6uuGqAwAAsCObg9DKlSvtUQcAAECjszkIJSYm2qMOAACARmdzEFq9evVltw8cOPCKiwEAAGhMNgehpKSkOm0/nSvEHCEAANBU2Lxq7NSpU1av/Px8LV++XL1799YXX3xhjxoBAADswuYRIX9//zptQ4cOldlsVnp6ujZv3twghQEAANibzSNClxIaGqq9e/c21McBAADYnc0jQt99953Ve8MwlJOTo9mzZys+Pr7BCgMAALA3m4NQfHy8TCaTDMOwar/++uv1xhtvNFhhAAAA9mZzEMrOzrZ67+LiohYtWsjT07PBigIAAGgMNs8RWrVqlcLCwhQdHa3o6GhFRUXJ09NTVVVVeuutt+xRIwAAgF3YHITS0tJ0+vTpOu2lpaVKS0trkKIAAAAag81B6MLDVf+vY8eOXXRpPQAAwNWq3nOEunfvLpPJJJPJpF/84hdyc/tx1+rqamVnZ+umm26yS5EAAAD2UO8gdNttt0mStm3bpuTkZPn6+lq2mc1mxcTE6Ne//nXDVwgAAGAn9Q5C06dPlyTFxMRoxIgRrBIDriFHiiq04cBJR5cBG5ndXBQfFSBXl7rTFQDUj83L50eNGmWPOgA40AebjuqtTQWOLgNX4P6ktnrspvaOLgNosmwOQtXV1XrxxRf1/vvv68iRI6qqqrLaXlRU1GDFAWgcsS18ddbEKG9TcqrinArLKnW0qMLRpQBNms1BaMaMGXr99df18MMP68knn9Sf/vQnHTp0SEuXLtW0adPsUSMAO/vvg/0ls4+jy4ANFq7L1lP/3e3oMoAmz+bl84sWLdJrr72mhx9+WG5ubho5cqRef/11TZs2TV9//bU9agQAALALm4NQbm6uunTpIkny9fW13Fzxl7/8pT799NOGrQ4AAMCObA5CLVu2VE5OjiSpbdu2+uKLLyRJ3377rTw8PBq2OgAAADuyOQjdfvvtysjIkCQ9+OCDmjp1quLi4pSamqoxY8Y0eIEAAAD2YvNk6dmzZ1v+HjFihFq1aqUNGzYoLi5OKSkpDVocAACAPdkchP6vhIQEJSQkNEQtAAAAjcrmS2Nvvvmm1aToRx99VAEBAerXr58OHz7coMUBAADYk81BaObMmfLy8pIkbdiwQfPmzdPzzz+v4OBgTZo0qcELBAAAsBebL40dPXpUsbGxkqSlS5fqjjvu0L333qsbbrhBSUlJDV0fAACA3dg8IuTr66uTJ2sfzvjFF19o6NChkiRPT0+dOXOmYasDAACwI5tHhIYOHaqxY8eqe/fu2rdvn4YPHy5J2rVrl2JiYhq6PgAAALuxeURo/vz5SkhIUEFBgT766CM1b95ckrR582aNHDmywQsEAACwF5tHhAICAjRv3rw67TNmzGiQggAAABqLzSNCAAAA1wqCEAAAcFoEIQAA4LRsCkKGYejIkSM6e/asveoBAABoNDYHodjYWB09etRe9QAAADQam4KQi4uL4uLiLDdUBAAAaMpsniM0e/ZsPfLII9q5c6c96gEAAGg0Nt9HKDU1VRUVFerWrZvMZrPlAawXFBUVNVhxAAAA9mRzEJo7d6496gAAAGh0NgehUaNG2aMOAACARndF9xE6cOCAnnzySY0cOVL5+fmSpGXLlmnXrl0NWhwAAIA92RyEVq1apS5duuibb77RkiVLVFZWJknavn27pk+f3uAFAgAA2IvNQejxxx/Xn//8Z61YsUJms9nSPnjwYH399dcNWhwAAIA92RyEduzYodtvv71Oe0hIiAoLCxukKAAAgMZgcxAKCAhQTk5OnfatW7cqMjKyQYoCAABoDDYHobvuukuPPfaYcnNzZTKZVFNTo3Xr1mny5MlKTU29oiLmz5+vmJgYeXp6qm/fvtq4cWO99nvvvfdkMpl02223XdFxAQCAc7M5CM2cOVPt27dXVFSUysrK1LFjRw0cOFD9+vXTk08+aXMBixcvVnp6uqZPn64tW7aoW7duSk5OtqxGu5RDhw5p8uTJGjBggM3HBAAAkK4gCJnNZr322ms6ePCgPvnkE7399tvKysrSv//9b7m6utpcwJw5czRu3DilpaWpY8eOWrBggby9vfXGG29ccp/q6mrdfffdmjFjhtq0aWPzMQEAAKQrCEJPP/20KioqFBUVpeHDh+vOO+9UXFyczpw5o6efftqmz6qqqtLmzZs1ZMiQHwtycdGQIUO0YcOGy9YQEhKi3//+97aWDwAAYGFzEJoxY4bl3kE/VVFRoRkzZtj0WYWFhaqurlZoaKhVe2hoqHJzcy+6z9q1a/XPf/5Tr732Wr2OUVlZqZKSEqsXAACAdAVByDAMmUymOu3bt29XUFBQgxR1KaWlpbrnnnv02muvKTg4uF77zJo1S/7+/pZXVFSUXWsEAABNR72fNRYYGCiTySSTyaR27dpZhaHq6mqVlZXpvvvus+ngwcHBcnV1VV5enlV7Xl6ewsLC6vQ/cOCADh06pJSUFEtbTU1N7Ym4uWnv3r1q27at1T5TpkxRenq65X1JSQlhCAAASLIhCM2dO1eGYWjMmDGaMWOG/P39LdvMZrNiYmKUkJBg08HNZrN69uypjIwMyxL4mpoaZWRk6IEHHqjTv3379tqxY4dV25NPPqnS0lK99NJLFw04Hh4e8vDwsKkuAADgHOodhC48db5169bq16+f3N3dG6SA9PR0jRo1Sr169VKfPn00d+5clZeXKy0tTZKUmpqqyMhIzZo1S56enurcubPV/gEBAZJUpx0AAODn1DsIXZCYmGj5++zZs6qqqrLa7ufnZ9PnjRgxQgUFBZo2bZpyc3MVHx+v5cuXWyZQHzlyRC4uNk9lAgAA+Fk2B6GKigo9+uijev/993Xy5Mk626urq20u4oEHHrjopTBJyszMvOy+CxcutPl4AAAA0hWsGnvkkUf01Vdf6dVXX5WHh4def/11zZgxQxEREXrrrbfsUSMAAIBd2Dwi9N///ldvvfWWkpKSlJaWpgEDBig2NlbR0dFatGiR7r77bnvUCQAA0OBsHhEqKiqyPNbCz89PRUVFkqT+/ftr9erVDVsdAACAHdkchNq0aaPs7GxJtcvZ33//fUm1I0UXVnABAAA0BTYHobS0NG3fvl2S9Pjjj2v+/Pny9PTUpEmT9MgjjzR4gQAAAPZi8xyhSZMmWf4eMmSIsrKytHnzZsXGxqpr164NWhwAAIA91TsIZWdnq3Xr1nXao6OjFR0d3aBFAQAANIZ6Xxpr27atWrdurTFjxujf//63jh07Zs+6AAAA7K7eI0JfffWVMjMzlZmZqXfffVdVVVVq06aNBg8erEGDBmnQoEGWu0EDAAA0BfUOQklJSUpKSpJU+2iN9evXW4LRm2++qXPnzql9+/batWuXvWoFAABoUDZPlpYkT09PDR48WP3799egQYO0bNky/f3vf1dWVlZD1wcAAGA3NgWhqqoqff3111q5cqUyMzP1zTffKCoqSgMHDtS8efOsHsgKAABwtat3EBo8eLC++eYbtW7dWomJifrDH/6gd955R+Hh4fasDwAAwG7qHYTWrFmj8PBwDR48WElJSUpMTFTz5s3tWRsAAIBd1Xv5fHFxsf7xj3/I29tbzz33nCIiItSlSxc98MAD+vDDD1VQUGDPOgEAABpcvUeEfHx8dNNNN+mmm26SJJWWlmrt2rVauXKlnn/+ed19992Ki4vTzp077VYsAABAQ7L5WWMX+Pj4KCgoSEFBQQoMDJSbm5v27NnTkLUBAADYVb1HhGpqarRp0yZlZmZq5cqVWrduncrLyxUZGalBgwZp/vz5GjRokD1rBQAAaFD1DkIBAQEqLy9XWFiYBg0apBdffFFJSUlq27atPesDAACwm3oHob/85S8aNGiQ2rVrZ896AAAAGk29g9Af/vAHe9YBAADQ6K54sjQAAEBTRxACAABOiyAEAACcFkEIAAA4LYIQAABwWgQhAADgtAhCAADAaRGEAACA0yIIAQAAp0UQAgAATosgBAAAnBZBCAAAOC2CEAAAcFoEIQAA4LQIQgAAwGkRhAAAgNMiCAEAAKdFEAIAAE6LIAQAAJwWQQgAADgtghAAAHBaBCEAAOC0CEIAAMBpEYQAAIDTIggBAACnRRACAABOiyAEAACcFkEIAAA4LYIQAABwWgQhAADgtAhCAADAaRGEAACA0yIIAQAAp0UQAgAATosgBAAAnNZVEYTmz5+vmJgYeXp6qm/fvtq4ceMl+7722msaMGCAAgMDFRgYqCFDhly2PwAAwKU4PAgtXrxY6enpmj59urZs2aJu3bopOTlZ+fn5F+2fmZmpkSNHauXKldqwYYOioqJ044036vjx441cOQAAaOocHoTmzJmjcePGKS0tTR07dtSCBQvk7e2tN95446L9Fy1apPHjxys+Pl7t27fX66+/rpqaGmVkZDRy5QAAoKlzc+TBq6qqtHnzZk2ZMsXS5uLioiFDhmjDhg31+oyKigqdO3dOQUFB9ioTAK5aOafPavnOHEeXAVjx9zIroW1zR5dRLw4NQoWFhaqurlZoaKhVe2hoqLKysur1GY899pgiIiI0ZMiQi26vrKxUZWWl5X1JScmVFwwAVwlX19oB/c2HT2nz4VMOrgaw1qNVgJaMv8HRZdSLQ4PQ/2r27Nl67733lJmZKU9Pz4v2mTVrlmbMmNHIlQGAfQ3tEKrV+wp0qrzK0aUAdbQLa+boEurNoUEoODhYrq6uysvLs2rPy8tTWFjYZff961//qtmzZ+vLL79U165dL9lvypQpSk9Pt7wvKSlRVFTU/1Y4ADhYmL+nXkvt5egygCbPoZOlzWazevbsaTXR+cLE54SEhEvu9/zzz+uZZ57R8uXL1avX5f9H4OHhIT8/P6sXAACAdBVcGktPT9eoUaPUq1cv9enTR3PnzlV5ebnS0tIkSampqYqMjNSsWbMkSc8995ymTZumd955RzExMcrNzZUk+fr6ytfX12HnAQAAmh6HB6ERI0aooKBA06ZNU25uruLj47V8+XLLBOojR47IxeXHgatXX31VVVVVuuOOO6w+Z/r06Xrqqacas3QAANDEmQzDMBxdRGMqKSmRv7+/Tp8+zWUyOLeqcmlmRO3fT5yQzD6OrQcALsNev98Ov6EiAACAoxCEAACA0yIIAQAAp0UQAgAATosgBAAAnBZBCAAAOC2CEAAAcFoEIQAA4LQIQgAAwGkRhAAAgNMiCAEAAKdFEAIAAE6LIAQAAJwWQQgAADgtghAAAHBaBCEAAOC0CEIAAMBpEYQAAIDTIggBAACnRRACAABOiyAEAACcFkEIAAA4LYIQAABwWgQhAADgtAhCAADAaRGEAACA0yIIAQAAp0UQAgAATosgBAAAnBZBCAAAOC2CEAAAcFoEIQAA4LQIQgAAwGkRhAAAgNMiCAEAAKdFEAIAAE6LIAQAAJwWQQgAADgtghAAAHBaBCEAAOC0CEIAAMBpEYQAAIDTIggBAACnRRACAABOiyAEAACcFkEIAAA4LYIQAABwWgQhAADgtAhCAADAaRGEAACA0yIIAQAAp0UQAgAATosgBAAAnBZBCAAAOC2CEAAAcFoEIQAA4LQIQgAAwGldFUFo/vz5iomJkaenp/r27auNGzdetv8HH3yg9u3by9PTU126dNFnn33WSJUCAIBricOD0OLFi5Wenq7p06dry5Yt6tatm5KTk5Wfn3/R/uvXr9fIkSP1+9//Xlu3btVtt92m2267TTt37mzkygEAQFNnMgzDcGQBffv2Ve/evTVv3jxJUk1NjaKiovTggw/q8ccfr9N/xIgRKi8v1yeffGJpu/766xUfH68FCxb87PFKSkrk7++v06dPy8/Pr+FOBGhqqsqlmRG1f0/eL5m9HVsPgGuLu7dkMjXYx9nr99utwT7pClRVVWnz5s2aMmWKpc3FxUVDhgzRhg0bLrrPhg0blJ6ebtWWnJyspUuXXrR/ZWWlKisrLe9LSkoaoHLgGvPXWEdXAOBa88QJyezj6Cp+lkMvjRUWFqq6ulqhoaFW7aGhocrNzb3oPrm5uTb1nzVrlvz9/S2vqKiohikeaOrcvaWo6x1dBQA4lENHhBrDlClTrEaQSkpKCEOAVDtkPWa5dK7C0ZUAuBa5N43L7Q4NQsHBwXJ1dVVeXp5Ve15ensLCwi66T1hYmE39PTw85OHh0TAFA9cak6lJDF0DgL049NKY2WxWz549lZGRYWmrqalRRkaGEhISLrpPQkKCVX9JWrFixSX7AwAAXIrDL42lp6dr1KhR6tWrl/r06aO5c+eqvLxcaWlpkqTU1FRFRkZq1qxZkqSHHnpIiYmJeuGFF3TzzTfrvffe06ZNm/SPf/zDkacBAACaIIcHoREjRqigoEDTpk1Tbm6u4uPjtXz5csuE6CNHjsjF5ceBq379+umdd97Rk08+qSeeeEJxcXFaunSpOnfu7KhTAAAATZTD7yPU2LiPEAAATY+9fr8dfmdpAAAARyEIAQAAp0UQAgAATosgBAAAnBZBCAAAOC2CEAAAcFoEIQAA4LQIQgAAwGkRhAAAgNNy+CM2Gtv/b+/+Y6Ku/ziAPz93cJyGgAjHHQH2w3UYmZgTduSSUmPpVP4pc8ZYakSDFmvT4WqTrIluLslGxtaURTXTjB+RYf4CzcMZv9ZB5JLUchxSqAdSy7x7f/8wzu8hHHd0P/A+z8d2f/C51/vD6/PyvTcvP5/P3ZTYpnUAAAwiSURBVGfoi7T7+/v9nAkRERG5aujvtqcfiCG7RmhgYAAAEB8f7+dMiIiIyF19fX0IDw/32P5k96wxm82G7u5uTJkyBZIkeXTf/f39iI+Px2+//Sb755ixFo5YD0esx22shSPWwxHrcZvFYkFCQgKuXr2KiIgIj+1XdmeEFAoF4uLivPo7wsLCZD9hh7AWjlgPR6zHbayFI9bDEetxm0Lh2dubebM0ERERyRYbISIiIpItZVFRUZG/kwgkSqUS6enpCAqS3VXHO7AWjlgPR6zHbayFI9bDEetxmzdqIbubpYmIiIiG8NIYERERyRYbISIiIpItNkJEREQkW2yEiIiISLbYCLmptLQU9913H9RqNVJTU3HmzBmn8fv370diYiLUajVmzZqFgwcP+ihT73OnFuXl5ZAkyeGlVqt9mK13nThxAsuWLUNsbCwkSUJVVdWYY+rr6/HYY48hJCQEM2bMQHl5ufcT9QF3a1FfX3/H3JAkCT09PT7K2HuKi4sxb948TJkyBRqNBpmZmTh79uyY4wJ13RhPPQJ57di1axceffRR+5clGgwGfPPNN07HBOrccLcWnpwXbITc8Pnnn+P111/Hpk2b0NLSgtmzZyMjIwO9vb0jxhuNRqxatQpr165Fa2srMjMzkZmZifb2dh9n7nnu1gK49c2oZrPZ/rp48aIPM/auwcFBzJ49G6WlpS7Fnz9/HkuXLsWTTz6JtrY2FBQUYN26dTh06JCXM/U+d2sx5OzZsw7zQ6PReClD32loaEBeXh5Onz6Nw4cP459//sHTTz+NwcHBUccE8roxnnoAgbt2xMXFYevWrWhubkZTUxOeeuoprFixAh0dHSPGB/LccLcWgAfnhSCXpaSkiLy8PPvPVqtVxMbGiuLi4hHjn3vuObF06VKHbampqeLll1/2ap6+4G4t9uzZI8LDw32Vnl8BEJWVlU5jNmzYIJKSkhy2rVy5UmRkZHgzNZ9zpRbHjx8XAMTVq1d9lJX/9Pb2CgCioaFh1JhAXjeGc6Ueclo7hBBi6tSp4qOPPhrxPTnNDSGc18KT84JnhFx048YNNDc3Y9GiRfZtCoUCixYtQmNj44hjGhsbHeIBICMjY9T4u8V4agEA169fx/Tp0xEfHz9mpx/oAnVu/BfJycnQ6XRYvHgxTp065e90vMJisQAAIiMjR42R09xwpR6APNYOq9WKvXv3YnBwEAaDYcQYucwNV2oBeG5esBFy0R9//AGr1YqYmBiH7TExMaPey9DT0+NW/N1iPLXQ6/XYvXs3qqur8cknn8BmsyEtLQ2XLl3yRcoTzmhzo7+/H3/99ZefsvIPnU6HDz/8EAcOHMCBAwcQHx+P9PR0tLS0+Ds1j7LZbCgoKMDjjz+ORx55ZNS4QF03hnO1HoG+dphMJoSGhiIkJAS5ubmorKzEww8/PGJsoM8Nd2rhyXnB7+smnzAYDA6dfVpaGmbOnImysjK8/fbbfsyM/E2v10Ov19t/TktLQ1dXF3bs2IGKigo/ZuZZeXl5aG9vx3fffefvVCYEV+sR6GuHXq9HW1sbLBYLvvjiC2RnZ6OhoWHUBiCQuVMLT84LNkIuioqKglKpxOXLlx22X758GVqtdsQxWq3Wrfi7xXhqMVxwcDDmzJmDc+fOeSPFCW+0uREWFoZJkyb5KauJIyUlJaAahvz8fNTW1uLEiROIi4tzGhuo68b/c6cewwXa2qFSqTBjxgwAwNy5c/H999/jvffeQ1lZ2R2xgT433KnFcP9lXvDSmItUKhXmzp2Lo0eP2rfZbDYcPXp01GuYBoPBIR4ADh8+7PSa591gPLUYzmq1wmQyQafTeSvNCS1Q54antLW1BcTcEEIgPz8flZWVOHbsGO6///4xxwTy3BhPPYYL9LXDZrPh77//HvG9QJ4bI3FWi+H+07zwyC3XMrF3714REhIiysvLxY8//ihycnJERESE6OnpEUIIkZWVJQoLC+3xp06dEkFBQWL79u2is7NTbNq0SQQHBwuTyeSvQ/AYd2vx1ltviUOHDomuri7R3Nwsnn/+eaFWq0VHR4e/DsGjBgYGRGtrq2htbRUAxLvvvitaW1vFxYsXhRBCFBYWiqysLHv8L7/8IiZPnizWr18vOjs7RWlpqVAqlaKurs5fh+Ax7tZix44doqqqSvz888/CZDKJ1157TSgUCnHkyBF/HYLHvPLKKyI8PFzU19cLs9lsf/3555/2GDmtG+OpRyCvHYWFhaKhoUGcP39e/PDDD6KwsFBIkiS+/fZbIYS85oa7tfDkvGAj5Kb3339fJCQkCJVKJVJSUsTp06ft7y1YsEBkZ2c7xO/bt0889NBDQqVSiaSkJPH111/7OGPvcacWBQUF9tiYmBixZMkS0dLS4oesvWPoI+DDX0M1yM7OFgsWLLhjTHJyslCpVOKBBx4Qe/bs8Xne3uBuLbZt2yYefPBBoVarRWRkpEhPTxfHjh3zT/IeNlIdADj8W8tp3RhPPQJ57VizZo2YPn26UKlUIjo6WixcuND+h18Iec0Nd2vhyXkhCSGE++eRiIiIiO5+vEeIiIiIZIuNEBEREckWGyEiIiKSLTZCREREJFtshIiIiEi22AgRERGRbLERIiIiItliI0RE9K+ioiJIkgRJklBSUuI0diguIiLCR9kRkTewESIivykvL7c3FEqlElOnTkVqaio2b94Mi8Uy4pgXX3wRb775Ji5cuABJktDW1ubw/v83M0FBQYiKisITTzyBkpISl55blJSUBLPZjJycHKdxZrN5zGaJiCY+NkJE5FdhYWEwm824dOkSjEYjcnJy8PHHHyM5ORnd3d0OsVarFbW1tVi+fLnTfQ41M7/++iuOHz+OZ599FsXFxUhLS8PAwIDTsUFBQdBqtZg8ebLTOK1Wi/DwcNcOkogmLDZCROQVv//+O7RaLbZs2WLfZjQaoVKpHJ6gLUkStFotdDodZs6cibVr18JoNOL69evYsGGDwz6NRiOCg4Mxb948+5PL58yZA0mSkJ6ebo8bamZiY2Mxa9YsvPrqq2hoaEB7ezu2bdvm3QMnorsKGyEi8oro6Gjs3r0bRUVFaGpqwsDAALKyspCfn4+FCxc6HavRaLB69WrU1NTAarXat9fU1GDZsmWQJAlnzpwBABw5cgRmsxlffvml030mJibimWeeGTOOiOSFjRARec2SJUvw0ksvYfXq1cjNzcU999yD4uJil8YmJiZiYGAAfX199m3V1dX2y2LR0dEAgGnTpkGr1SIyMtKlfV64cMH9AyGigMVGiIi8avv27bh58yb279+PTz/9FCEhIS6NE0IAuHXpDAA6OzvR3d095tmksfY5tD9X5ebmIjQ01P4iosDCRoiIvKqrqwvd3d2w2WxunY3p7OxEWFgYpk2bBuDWZbHFixdDrVaPO5fOzk77vUWu2rx5M9ra2uwvIgosQf5OgIgC140bN/DCCy9g5cqV0Ov1WLduHUwmEzQajdNxvb29+Oyzz5CZmQmF4tb/16qrqx0+0q5SqQDA4R4iZ3766SfU1dVh48aNbh2DRqMZM18iunuxESIir3njjTdgsViwc+dOhIaG4uDBg1izZg1qa2vtMUII9PT0QAiBa9euobGxEVu2bEF4eDi2bt0K4FZj1NTUhJqaGvs4jUaDSZMmoa6uDnFxcVCr1faPs9+8eRM9PT2w2Wzo6+tDfX093nnnHSQnJ2P9+vW+LQIRTWi8NEZEXlFfX4+SkhJUVFQgLCwMCoUCFRUVOHnyJHbt2mWP6+/vh06nw7333guDwYCysjJkZ2ejtbUVOp0OAPDVV18hJSUFUVFR9nFBQUHYuXMnysrKEBsbixUrVtjf6+jogE6nQ0JCAtLT07Fv3z5s3LgRJ0+e5H0+RORAEkN3JBIRTVDLly/H/Pnz7/heIU8rKipCVVWVy/cClZeXo6CgANeuXfNqXkTkPTwjREQT3vz587Fq1Sqf/C6TyYTQ0FB88MEHTuNCQ0ORm5vrk5yIyHt4RoiI6F9XrlzBlStXANz6niJnj9A4d+4cAECpVLr9STQimjjYCBEREZFs8dIYERERyRYbISIiIpItNkJEREQkW2yEiIiISLbYCBEREZFssREiIiIi2WIjRERERLLFRoiIiIhki40QERERydb/APz/CRhpBek5AAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure()\n",
    "FF.visualize(rel_perms_hs, label = \"HS\")\n",
    "FF.visualize(rel_perms_ls, label = \"LS\")\n",
    "figure()\n",
    "FF.visualize(rel_perms_hs, fluids_hs, label=\"HS\")\n",
    "FF.visualize(rel_perms_ls, fluids_ls, label=\"LS\")\n",
    "tight_layout()\n",
    "figure()\n",
    "FF.visualize_solution(ls_res_sec)\n",
    "figure()\n",
    "FF.visualize_profiles(ls_res_sec)\n",
    "title(\"Secondary low-sal\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, I compare the above solution with the numerical solution of the same problem:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  97%|████████████████████████████████████████ |  ETA: 0:00:01\u001b[39m"
     ]
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num, label = \"Sw-numerical\")\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1-c_old, label = \"tracer-numerical\")\n",
    "plot(ls_res_sec.saturation_profile_xt[:,1], ls_res_sec.saturation_profile_xt[:,2], label = \"Sw-analytical\")\n",
    "plot(ls_res_sec.tracer_profile_xt[:,1], ls_res_sec.tracer_profile_xt[:,2], label = \"tracer-analytical\")\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")\n",
    "title(\"Secondary low sal water flood\")\n",
    "legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tertiary low-salinity water flooding\n",
    "We assume that the reservoir is flooded with the formation brine (i.e, high salinity) and has reached the residual oil saturation. It means that the initial saturation of the reservoir is 1-$S_{or}^{HS}$. For this system, the solution looks like the following:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.7233666450788676\n",
      "low sal breakthrough time = 0.7792345274868723\n",
      "high sal sw_shock = 0.5033633510803514\n",
      "high sal breakthrough time = 0.6966577483203314\n"
     ]
    }
   ],
   "source": [
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, p_back=1e5, \n",
    "    sw_init=1-rel_perms_hs.sor, sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "ls_res_ter = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)\n",
    "\n",
    "# figure()\n",
    "# FF.visualize(rel_perms_hs, label = \"HS\")\n",
    "# FF.visualize(rel_perms_ls, label = \"LS\")\n",
    "# figure()\n",
    "# FF.visualize(rel_perms_hs, fluids_hs, label=\"HS\")\n",
    "# FF.visualize(rel_perms_ls, fluids_ls, label=\"LS\")\n",
    "# tight_layout()\n",
    "figure()\n",
    "FF.visualize_solution(ls_res_ter)\n",
    "figure()\n",
    "FF.visualize_profiles(ls_res_ter)\n",
    "title(\"Tertiary low-sal\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  98%|████████████████████████████████████████ |  ETA: 0:00:00\u001b[39m"
     ]
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num, label = \"Sw-numerical\")\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1-c_old, label = \"tracer-numerical\")\n",
    "plot(ls_res_ter.saturation_profile_xt[:,1], ls_res_ter.saturation_profile_xt[:,2], label = \"Sw-analytical\")\n",
    "plot(ls_res_ter.tracer_profile_xt[:,1], ls_res_ter.tracer_profile_xt[:,2], label = \"tracer-analytical\")\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")\n",
    "title(\"Tertiary low sal water flood\")\n",
    "legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, we can see that the solution matches reasonably with the numerical results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A special case\n",
    "One special case happens when the high salinity residual oil saturation is very close to the low salinity residual oil saturation. In this case, the line that connects the intersection of the high salinity fractional flow curve and the tangent line from the origin to the low salinity fractional curve to the initial reservoir saturation (i.e., 1-$S_{w,or}^{HS}$, cuts through the low salinity fractional flow curve, as shown below. In this case the above procedure for finding the analytical solution procedure does not work: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.7233666450788676\n",
      "low sal breakthrough time = 0.7792345274868723\n",
      "high sal sw_shock = 0.5577460825529506\n",
      "high sal breakthrough time = 0.8522910391556234\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[36mINFO: \u001b[39m\u001b[22m\u001b[36mThis function does not work on this problem. Consider calling the single_ion_adsorption_water_flood_single_shock function.\n",
      "\u001b[39m"
     ]
    },
    {
     "data": {
      "text/plain": [
       "FractionalFlow.FracFlowResults(Function[FractionalFlow.#23, FractionalFlow.#23], FractionalFlow.Line[FractionalFlow.Line(Real[-0.0, 0.0], Real[0.723367, 0.928304]), FractionalFlow.Line(Real[0.8, 1.0], Real[0.557746, 0.715762])], Real[0.0 0.0; 0.852291 0.0; … ; 4.80541 0.175833; 5.0 0.178515], Real[0.0 0.0; 3335.05 0.0; … ; 18803.8 0.175833; 19565.2 0.178515], Real[1.94026e-15 0.85; 0.00831185 0.848721; … ; 1.17331 0.8; 3.33333 0.8], Real[0.0 1.0; 1.28331 1.0; 1.28331 0.0; 3.33333 0.0])"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rel_perms_hs = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "        swc=0.15, sor=0.20, nw=2.0, no = 2.0)\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5.0, p_back=1e5, \n",
    "    sw_init=1-rel_perms_hs.sor, sw_inj=1.0, rel_perms=rel_perms_hs)\n",
    "ls_res_ter = FF.low_sal_water_flood(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3 style='padding: 10px'>high salinity rel perm</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>"
      ],
      "text/plain": [
       "HTML{String}(\"<h3 style='padding: 10px'>high salinity rel perm</h3><table class='table table-striped'><thead><tr><th>krw0</th><th>kro0</th><th>nw</th><th>no</th><th>Swc</th><th>Sor</th></tr></thead><tbody><tr><td>0.4</td><td>0.9</td><td>2.0</td><td>2.0</td><td>0.15</td><td>0.2</td></tr></tbody></table>\")"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FF.print_relperm(rel_perms_hs, title = \"high salinity rel perm\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure()\n",
    "FF.visualize(rel_perms_hs, label = \"HS\")\n",
    "FF.visualize(rel_perms_ls, label = \"LS\")\n",
    "figure()\n",
    "FF.visualize(rel_perms_hs, fluids_hs, label=\"HS\")\n",
    "FF.visualize(rel_perms_ls, fluids_ls, label=\"LS\")\n",
    "tight_layout()\n",
    "figure()\n",
    "FF.visualize_solution(ls_res_ter)\n",
    "figure()\n",
    "FF.visualize_profiles(ls_res_ter)\n",
    "title(\"Secondary low-sal\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  98%|████████████████████████████████████████ |  ETA: 0:00:00\u001b[39m"
     ]
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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y6nchig2nz4uiKF6+fFkcM2aM6OnpKSqVSjE8PFxctWpVo/sPHz5cBCD+8ssv0rKKigpRqVSKDg4OYk1NzW1r+OKLL8QHHnhA9PT0FFUqlRgSEiImJiaKZWVl0jYFBQXi6NGjRU9PT9HZ2VmMj48XT5482WBquLHT50VRf+kBQRBET09PUafTScuXLVsmAhDHjx/fYJ8dO3aI999/v2hvby/6+/uLM2bMEH/99dcG5ywuLhafffZZ0dXVVQRgMC3dHJ+xxhg7fV4URTE7O1t84oknRBcXF1GtVov9+vUTN2/e3GBfYz8LV69eFUeNGiU6OTmJbm5u4rhx48R9+/Zx+jxZhSCKt7QfE5FN+PjjjzFjxgxcvHgRfn5+1i6HiMgqGISIbJBOp0NYWBiCg4NNHmxNRHQv4RghIhtSWlqK9evXY8uWLTh+/Di++OILa5dERGRVDEJENuTSpUt47rnn4OHhgdmzZ0v3ziIislXsGiMiIiKbxesIERERkc1iECIiIiKbZXNjhHQ6HS5fvgxnZ+cW3VKAiIiI7j5RFFFaWor27dtDJjNfO47NBaHLly9Do9FYuwwiIiJqgQsXLqBDhw5mO57NBSFnZ2cA+l+ki4uLlashIiIiY5SUlECj0Ujf4+Zic0GovjvMxcWFQYiIiKiNMfewFg6WJiIiIpvFIEREREQ2i0GIiIiIbBaDEBEREdksBiEiIiKyWQxCREREZLMYhIiIiMhmMQgRERGRzWIQIiIiIpvFIEREREQ2y6pBaOfOnRg+fDjat28PQRDw888/33af5ORk9O7dGyqVCiEhIfjqq68sXygRERHdk6wahMrLyxEeHo5FixYZtf2ZM2fw6KOPIjY2FhkZGfjzn/+MV155Bb/99puFKyUiIqJ7kVVvuvrII4/gkUceMXr7JUuWICgoCJ9++ikAICwsDKmpqfjss88QFxdnqTKNUlVZjmvnT0EA4OOiNm6nJm8c18Tye3b7pg5j4XpMXd7afj9yO9P3aey09vZmv4khEVFb0abuPp+WloYhQ4YYLIuLi8Of//znJveprq5GdXW19LqkpMQitZ3ZvwMYPxUAcM0iZyCyDPvevRHwzSqGISKySW1qsHROTg58fX0Nlvn6+qKkpASVlZWN7jNv3jy4urpKD41GY5Ha+CVCbVXlgQMQm/j7Q0R0r2tTLUItkZiYiISEBOl1SUmJRcJQXWA0nn7sQ/g4q7Dj7VizH79VE0XTlsPU7Vu6j6XPYcb3YepyUQSKLwG7FgBZ6wFHX+CNPYCdqplzG9JVVuLEAw8avT0R0b2oTQUhPz8/5ObmGizLzc2Fi4sL7O3tG91HpVJBpTL+y6GlFAoZqhUqVMqVkDk4WPx8RPBoB2iWA1/0BoovANlrgb7jrV0VEVGb0qa6xqKjo7Ft2zaDZVu3bkV0dLSVKrpBIdN3jdVqTWyhILoTCiXQ91X9zye2WLcWIqI2yKpBqKysDBkZGcjIyACgnx6fkZGB8+fPA9B3a40ZM0ba/rXXXsPp06fxzjvvICsrC//4xz+wZs0aTJkyxSr130wh0/8qtToGIbrLAq93b13YC+h01q2FiKiNsWoQ2r9/PyIjIxEZGQkASEhIQGRkJN5//30AwJUrV6RQBABBQUHYsGEDtm7divDwcHz66adYtmyZ1afOA4BcahHiFxHdZX49AYU9UFUM5B+3djVERG2KVccIxcTEQGxmYGljV42OiYnBwYMHLVhVy9jJ2SJEViK3A/z7AOdS9a1CPl2tXRERUZvRpsYItWb1LUJ1OrHZcEdkEe0j9M95mdatg4iojWEQMhM7+Y3rCLFViO46jyD987Uz1q2DiKiNYRAyk/oWIUDfKkR0V7lfD0KFDEJERKZgEDKT+jFCAIMQWYHUInSWM8eIiEzAIGQmBi1CnDlGd5urBhDkgLYaKL1i7WqIiNoMBiEzUbBrjKxJbge4Xb91DMcJEREZjUHITARBuDFzjFeXJmtwv6l7jIiIjMIgZEYKaQo9u8bIClz99c/sGiMiMhqDkBkp2CJE1uTcTv9cmmPdOoiI2hAGITNSXJ85xjFCZBVOvvpnBiEiIqMxCJkRu8bIqqQWIXaNEREZi0HIjBRydo2RFUlBKNe6dRARtSEMQmakkLFrjKzI2U//XJbDiyoSERmJQciM6luEtPwSImtw8gEgALo6oKLA2tUQEbUJDEJmVH8doVp2jZE1yO0AR2/9zxwnRERkFAYhM7K73jXGu8+T1Thz5hgRkSkYhMzoRosQu8bISupbhNg1RkRkFAYhM7KTxgixRYisxMFL/1yRb906iIjaCAYhM+IYIbI6B0/9czmDEBGRMRiEzKj+ytJsESKrcbwehNg1RkRkFAYhM+KVpcnqpK4xBiEiImMwCJmRdK8xdo2RtbBrjIjIJAxCZsQWIbI6R7YIERGZgkHIjG4EIbYIkZVw1hgRkUkYhMyIN10lq6tvEaoqBrS11q2FiKgNYBAyI950laxO7QYI1/9aVxRatxYiojaAQciMbrQIcYwQWYlMBth76H9m9xgR0W0xCJkRxwhRq2Dvrn+uvGbdOoiI2gAGITPi9HlqFaQgVGTdOoiI2gAGITOqbxHScvo8WZO9m/65ikGIiOh2GITMqH6wdC27xsia1NeDELvGiIhui0HIjBS8+zy1BvUtQuwaIyK6LQYhM1JId59n1xhZEQdLExEZjUHIjG6MEWKLEFmRmmOEiIiMxSBkRvWzxmo5a4ysiV1jRERGYxAyIzlnjVFrwMHSRERGYxAyIzvea4xag/oxQuwaIyK6LQYhM5LzXmPUGrBrjIjIaAxCZiS1CLFrjKzp5sHS/CwSETWLQciM6scIsWuMrKq+RUjUAdUl1q2FiKiVYxAyIzt2jVFrYGcPyFX6nxmEiIiaxSBkRoKgD0AMQmR1Kmf9c3WpdesgImrlGITMpKK2An8//iJUvj+jRHcaosgwRFbEIEREZBQGITPZdn4bimuvQumxB6fsPsSwHx7Hl0e+wtWKq9YujWyR2kX/XMWuMSKi5jAImUl8UDz+0vsz1JVEQNQpcLnyDJLSP8VDPwzBuE2vYsPpDaiorbB2mWQrVNeDEMcIERE1S2HtAu4Vcpkco3oOQR+fKHy5+xjWn94IrcN+yB3OY39eGvbnpUEps0esZjCeDB2OqHZRUMj46ycLYdcYEZFR+E1sZp19nTHvySi8X3Mf1v9xGd8cSMexku2wc81AjbIQv53bgN/ObYCjwhWPBMVheKdHEeETAZnAxjkyI6lFiEGIiKg5DEIWYq+U4//u0+D/7tPg4rWH8UvGJfxwJBVX6nZD4XIY5SjG2hNrsPbEGrjaeSE+eBge6/QIenr1hCAI1i6f2jqpRYhdY0REzWEQugs6uDtgYmwo3ogJQeaVp/Gfg+fwc/YOlMr/B4XzURQjH99lr8J32avgpvRFfNBQPBIch17evdhSRC3DrjEiIqMwCN1FgiCgW3sXdGvfE4mP9EDGxSKs/+Mc1p9IRol8PxTOmSiqycW32avwbfYquNh5YWjAQ3i0UxwifSI5poiMp2bXGBGRMfjNaiUymYDeHd3Ru6M73hPD8cfFYqw7fA4bTmxHkbAfCqcslCAfP55cjR9Proa9zAUPth+ExzvHoV/7flDVXzmYqDH1LUJVxdatg4iolWMQagUEQUC4xg3hGjfMFHvh6OUSrD98DptOpiBX+z8onDJRqSjB1ou/YuvFX6EQVAj3jMITnR/GIM1AuKvdrf0WqLXhYGkiIqMwCLUygiCgh78revj3wnT0wvmCCvx27BLWH0/F8dI0yJyOoc6uGOn5O5GevxOAgADH7ogPfgjDOg1GkEsQB1sTxwgRERmJQaiV6+jpgPEDQjF+QCiKK19AcnYefj66F/uvpkBrfwRydQ7OlR/B4sNHsPjw3+Es90M/vwfxVNehiGp3P+zkdtZ+C2QNbBEiIjIKg1Ab4mpvh8cj/PF4xFOo1T6B/50txMbMY0i+kIwCXQbkjqdRqs3B1ktrsfXSWsihRohzJOI7xSI+JBZ+jn7Wfgt0t3D6PBGRURiE2ig7uQz9O3mhf6eBAAYip7gKW7POYf2JHThWtBc6+0xAUYrs0jRkZ6Ths4yP4CLTINK7H57s8hAGduzL1qJ7GbvGiIiMYvWL1CxatAiBgYFQq9WIiorCvn37mt1+wYIF6NKlC+zt7aHRaDBlyhRUVVXdpWpbLz9XNUZHdcHqF15FxhvLsGLIrxjh9Qk8qkdAW9kRoiigRHcBO3J/wJ93voY+X0cj7tuxmJ38Txy9ehKiKFr7LZA5qV31z7UVgLbOurUQEbViVm0RWr16NRISErBkyRJERUVhwYIFiIuLQ3Z2Nnx8fBps/+2332L69OlYvnw5+vfvj+PHj+PFF1+EIAhISkqywjtoneQyAfcFeOK+gEcAPIKiihpsO34WG04k48i1vSiXH4NMUYbLtQfw47kD+PHcQih0ngh0jMQA//74v+6x0Lh5Wftt0J1QOt34uaYUsOfMQiKixgiiFZsCoqKicP/992PhwoUAAJ1OB41GgzfffBPTp09vsP2kSZOQmZmJbdu2ScumTp2KvXv3IjU11ahzlpSUwNXVFcXFxXBxcTHPG2ljckoq8PPRdGw7uxMny9JRa3cagqCV1ouiAKVWgwCHCPRvH40nwvojxNuds9Hamg98gboq4K0/APeABqt1FRXI7t0HANDlQDpkDg53u0IiIqNZ6vvbai1CNTU1SE9PR2JiorRMJpNhyJAhSEtLa3Sf/v37Y9WqVdi3bx/69u2L06dPY+PGjRg9enST56murkZ1dbX0uqSEg0f9XBzwWvQAvBY9AABwOr8Qq48kY9elNFysyoBWkYNaxXmcrDmPk2fXYcVpBeQ1QdDYh+N+v76IDeqNcH8PuDpwjFFrkJ6bjj9v/zPKasoMV3Tw1j//+jgAASJEiAAgAiIAZbWIr69v2ndVP1QrBbCDlIjMwUEXjH0v/cfaZRjFakEoPz8fWq0Wvr6+Bst9fX2RlZXV6D7PPfcc8vPz8eCDD0IURdTV1eG1117DX/7ylybPM2/ePMyZM8estd9rgr08kBjzFICnAACZVy/gp2PJ2HMlDRcq/4BWVgyd+gTOiSdw7spa/HBRBW1FMJzRFWFuvRHl3x3hGnd0a+cCd0eldd+MDdp7ZS+KqosarqhvwRO1DdcBgHBT7BF0gCCAbX5EZA4idNYuwWhtatZYcnIyPvroI/zjH/9AVFQUTp48ibfeegt//etf8d577zW6T2JiIhISEqTXJSUl0Gg0d6vkNinMW4MZg0YDGA1RFJFZcAK/ZO9A2uW9OF9xGFp5BRTOmahEJg5o/4P9px2gPRIkhaNQ907o7OOKUF8nhHg7QePhAD9XNezkVh+bf08b0WkE3ur9Fuq0OqSdKkDQb2PRoeY0ptS8jt1iDwD661KF+jghyMsRHR0EAC8CABYNXAOZgz0UMhkUMgGCIIA9oUTUUmpF2+kxsFoQ8vLyglwuR25ursHy3Nxc+Pk1fr2b9957D6NHj8Yrr7wCAOjZsyfKy8vx6quvYsaMGZDJGn7RqlQqqFS8L1dLCYKAbl6d0c2rM4Dx0Oq0yCrMwo4LadhxPg3Hi/9AnaICMpejsHM5ilr8iiN1Djh0IQjabH040lX7QSbI4OuiRgd3e/i72cPHRQ03Bzt4OCjh5qCEh6MSLvYKqBVyqO3kUClk0rNM1vq+kUVRhHi9i0l6Lf0MfTeUePP215/R/H64vu+N4xhud/Nx6leWVetnhV0tEfHFljxsPHwFBeU1+MZOCR+5FpFu9hj2QH/EdfOFj4taqklXUYHs6z/frwnkGCEisklWC0JKpRJ9+vTBtm3b8MQTTwDQD5betm0bJk2a1Og+FRUVDcKOXC4HAE7/vkvkMjm6e3VHd6/ueCPyFdTqanE0/yj25+5H2qW9OHQ1A9U3BSMAELX20FYEIr8iCLk5Qfjf2fYA5Eaf005+vYUC+t4eAQJkAqRlEHB9nSB9DkTpP7geIBoGlRs/37yteFPYaCSotEJKr9NQeQM7sq+iOvccAMDTUQlPZ0+gCJg2qD1wX8PB0kREZOWusYSEBIwdOxb33Xcf+vbtiwULFqC8vBzjxo10S0jIAAAgAElEQVQDAIwZMwb+/v6YN28eAGD48OFISkpCZGSk1DX23nvvYfjw4VIgorvLTmaHCJ8IRPhE4JWehsFof+5+HMw9iArou9IUzpn6fQQ1PBShcEIo7Go6obaiA4orZCiprEVVrRbVdTrU6W6kjlrt9aYSkgg3hT/Z9T4sD0clYvp2RFx3XzwQ4gW7dT8CReBFFYmImmHVIDRy5EhcvXoV77//PnJychAREYHNmzdLA6jPnz9v0AI0c+ZMCIKAmTNn4tKlS/D29sbw4cPx4YcfWust0C1uDUZ1ujpkF2bfCEZ5B1FcXYzc2sPIxWFAABROCoQFhCHeJxK9fXojwicCrkp3VNXpUH09GOnEm1pqROhf49YuIxHAjbEt9UGhvmOtvjWp/mfD5xstTvp9DY+DW/atP/aN89xYDwG3reHm8Te3nvPGtrfU1MSgnX9knMXiQ//Fo73aYWa/njdW1N9vrIozJYmImmLV6whZA68jZF06UYdTRadwIPcA0vPScSD3AHIrchtsF+ASgAjvCET6RCLSJxKBroGQCRxs3Zh/ZPwDiw8txsguIzGz38wbK7b9FUj5f0DfCUD8Jw3243WEiKgtueeuI0S2SSbIEOoeilD3UIzsOhIAcLnsMg7kHcCB3AM4mHcQp4pO4VzJOZwrOYdfTv0CAHBVuSLcOxwR3vrWpu6e3eFgxy/uZvF+Y0REt8UgRFbX3qk92ju1x2PBjwEAiquLcejqIWTkZeBg3kEcyT+C4upi7Ly4Ezsv7gQAyAU5Ort3Rrh3OMJ9whHuHY4OTh149eub8Q70RES3xSBErY6ryhUDOwzEwA4DAQC1ulpkF2ZLwSjjagbyKvKQWZiJzMJMfJ/9PQDAU+2JXt69EO4djl7evdhqVH/jVQYhIqImMQhRq2cns0MPrx7o4dUDL3R7AQBwpewKDl09JD0yCzNRUFWA7Re2Y/uF7QCud8O5haKnd0/08uqFXt69EOQaZDtjjdg1RkR0WwxC1Ca1c2qHdk7tMCxoGACgqq4KmYWZOJR3CH/k/4E/rv6B3IpcZF/LRva1bKw9vhYA4GTnhO5e3dHLqxd6evVET++e8LL3suZbsRwGISKi22IQonuCWqGWZpjVyynPweH8w/jjqj4YHSs4hrLaMuy9shd7r+yVtmvn2A49vHqgp1dP9PDqgW6e3eBo52iNt2Fe9UGI0+eJiJrEIET3LD9HP/g5+mFowFAAQJ2uDieLTuKPq3/gcP5hHL56GKeLT+NK+RVcKb+Cree2AtBfzyfYNVjqjuvh1QOd3TtDKW9jN5RVOumfayusWwcRUSvGIEQ2QyFToKtHV3T16IpnuzwLACivLcfR/KM4UnAER/KP4HD+YeSU5+BU8SmcKj4lTd+3k9mhs3tn9PDqge6e+luMBLsGQyFrxX+F6oNQTRmg0wGN3IuPiMjWteJ/xYksz9HOEX3b9UXfdn2lZfmV+TiSf+TGo0A/ff9owVEcLTgqbWevsEdXj67o7tkd3Ty7obtXdwS6tKILPypv6t6rrQBUTtarhYiolWIQIrqFl70XYjQxiNHEANDfxuNi2UV9EMrXh6FjBcdQXluOg3kHcTDvoLSvg8JBH4689OGom2c364UjO3tAkAGiDqgpZxAiImoEgxDRbQiCAI2zBhpnDYYF6mep6UQdzpacxdF8fSg6kn8E2deyUVFXob9Kdt4BaX9HO0d09eiKMI8wfcuRZ3cEuARALrPwjYIFQd89Vl2i7x6Dr2XPR0TUBjEIEbWATJAh2DUYwa7BGN5pOABAq9PidPFpHCs4JrUaZRdmo7y2HOm56UjPTZf2t1fYI8wjDGGeYVJACnINMv+YI6XjTUGIiIhuxSBEZCZymVy6j9rjIY8D0M9UO1N8BscKjkmP7GvZqKyrbNBypJKr0MW9C8I8w/QtSJ5hCHULvbPZatKA6fI7eWtERPcsBiEiC1LIFA3CkVanxdmSszhWcAyZhZk4VnAMWYVZKK8t118MMv+PG/sLCgS7BUutR/Wz3oy+zlH9gOlqtggRETWGQYjoLpPL5Ojk1gmd3DpJ3Wo6UYfzJeeRVZiFY4XHkFmQiazCLBRVF+H4teM4fu24NJVfgICOLh2lULTr8q6mT3bzFHoiImqAQYioFZAJMgS6BiLQNVC6bYgoisgpz5FuLptVoA9JeRV5OFdyDudKzuG3s79Jx1idvRqXyy5LASnMIwz+dg6QAewaIyJqAoMQUSslCIJ0T7XBHQdLywurCpFVkKUPR4VZ2Hx2s7Qu5VIKUi6lSK8dIUOXdj7oemETujo7obNHZ4S4hUAlV93V90JE1FoxCBG1MR5qD/T374/+/v0BAEGuQVh8aDG6enTFU6FPIaswC1mFWTh57STKdTU4oFbjQNFhYPdhAIBckCPINQg9HEPwnDXfCBFRK8AgRHSPCPcOx6iuo6TXtbpanNnwZ2Rn/4TMwH447uyJrGtZKK4uxsmik7iQd0IKQr+d/Q2PdHvSOoUTEVkRgxDRPcpOZofOju3RuawCwx1CgLi/QRRF5FbkIrMgEyeuHAHwDwBAxtVDeAQMQkRkexiEiO5lt0yfFwQBfo5+8HP0wyCvKGRfD0LtHP2sVSERkVW1krtDEpFF1AchTp8nImoUgxDRvYxXliYiahaDENG9TMULKhIRNYdBiOheJnWNsUWIiKgxDEJE9zLeYoOIqFkMQkT3svogxJuuEhE1yqjp8wkJCSYfeObMmfDw8DB5PyIyI3aNERE1y6ggtGDBAkRHR0OpVBp10NTUVEyaNIlBiMja6luE6ioBnRaQya1bDxFRK2P0BRX/85//wMfHx6htnZ2dW1wQEZlRfYsQoB8npHa1Xi1ERK2QUWOEvvzyS7i6Gv8P6D//+U/4+vq2uCgiMhOFCpBd//8ddo8RETVgVIvQ2LFjTTroc8/xntZErYIg6FuFqooZhIiIGnFHs8beeOMN5Ofnm6sWIrIEaeZYqXXrICJqhe4oCK1atQolJSXmqoWILIG32SAiatIdBSFRFM1VBxFZCqfQExE1iRdUJLrX8Q70RERNMnr6fGNKSznmgKjV4202iIiaZFSLkKnjgBiQiFoRFccIERE1xagg5O7ujry8PKMP6u/vj9OnT7e4KCIyI44RIiJqklFdY6IoYtmyZXBycjLqoLW1tXdUFBGZEafPExE1yagg1LFjRyxdutTog/r5+cHOzq7FRRGRGXH6PBFRk4wKQmfPnrVwGURkMewaIyJqEqfPE93rOH2eiKhJDEJE9zpOnyciahKDENG9TmoRqrBuHURErRCDENG9jmOEiIiaxCBEdK9j1xgRUZNadIuNoqIi7Nu3D3l5edDpdAbrxowZY5bCiMhM2CJERNQkk4PQr7/+iueffx5lZWVwcXGBIAjSOkEQGISIWhsGISKiJpncNTZ16lS89NJLKCsrQ1FREa5duyY9CgsLLVEjEd2J+iBUVwnotNathYiolTE5CF26dAmTJ0+Gg4ODJeohInOrD0IAUMuZY0RENzM5CMXFxWH//v2WqIWILEGhBoTrf9XZPUZEZMDkMUKPPvoo3n77bRw7dgw9e/ZscE+xESNGmK04IjIDQdDPHKsuYRAiIrqFyUFo/PjxAIC5c+c2WCcIArRajkEganWUjteDEKfQExHdzOQgdOt0eSJqAzhzjIioUbygIpEtsLs+uYFBiIjIQIuC0I4dOzB8+HCEhIQgJCQEI0aMQEpKSosKWLRoEQIDA6FWqxEVFYV9+/Y1u31RUREmTpyIdu3aQaVSoXPnzti4cWOLzk1kM3h1aSKiRpkchFatWoUhQ4bAwcEBkydPxuTJk2Fvb4+HHnoI3377rUnHWr16NRISEjBr1iwcOHAA4eHhiIuLQ15eXqPb19TUYOjQoTh79izWrl2L7OxsLF26FP7+/qa+DSLbwhuvEhE1yuQxQh9++CE++eQTTJkyRVo2efJkJCUl4a9//Suee+45o4+VlJSE8ePHY9y4cQCAJUuWYMOGDVi+fDmmT5/eYPvly5ejsLAQu3fvlmarBQYGmvoWiGwPxwgRETXK5Bah06dPY/jw4Q2WjxgxAmfOnDH6ODU1NUhPT8eQIUNuFCOTYciQIUhLS2t0n3Xr1iE6OhoTJ06Er68vevTogY8++qjZmWrV1dUoKSkxeBDZHHaNERE1yuQgpNFosG3btgbL//vf/0Kj0Rh9nPz8fGi1Wvj6+hos9/X1RU5OTqP7nD59GmvXroVWq8XGjRvx3nvv4dNPP8UHH3zQ5HnmzZsHV1dX6WFKjUT3DLYIERE1yuSusalTp2Ly5MnIyMhA//79AQC7du3CV199hb///e9mL/BmOp0OPj4++Ne//gW5XI4+ffrg0qVL+Nvf/oZZs2Y1uk9iYiISEhKk1yUlJQxDZHsYhIiIGmVyEHr99dfh5+eHTz/9FGvWrAEAhIWFYfXq1Xj88ceNPo6Xlxfkcjlyc3MNlufm5sLPz6/Rfdq1awc7OzvI5XJpWVhYGHJyclBTUwOlUtlgH5VKBZVKZXRdRPckZf30eXaNERHdrEXT55988kmkpqaioKAABQUFSE1NNSkEAYBSqUSfPn0Mutl0Oh22bduG6OjoRvd54IEHcPLkSYOLOh4/fhzt2rVrNAQR0XX1Y4R401UiIgNWvaBiQkICli5dihUrViAzMxOvv/46ysvLpVlkY8aMQWJiorT966+/jsLCQrz11ls4fvw4NmzYgI8++ggTJ0601lsgahvYNUZE1CijusY8PDxw/PhxeHl5wd3dHYIgNLltYWGh0ScfOXIkrl69ivfffx85OTmIiIjA5s2bpQHU58+fh0x2I6tpNBr89ttvmDJlCnr16gV/f3+89dZbePfdd40+J5FNYhAiImqUUUHos88+g7Ozs/Rzc0HIVJMmTcKkSZMaXZecnNxgWXR0NPbs2WO28xPZBE6fJyJqlFFBaOzYsdLPL774oqVqISJLYYsQEVGjTB4jJJfLG70FRkFBgcFsLiJqRXjTVSKiRpkchERRbHR5dXU1Z24RtVZS1xiDEBHRzYy+jtDnn38OABAEAcuWLYOTk5O0TqvVYufOnejatav5KySiO8euMSKiRhkdhD777DMA+hahJUuWGHSDKZVKBAYGYsmSJeavkIjuXH0Q0tUCdTWAgq23RESACUGo/oaqsbGx+Omnn+Du7m6xoojIzOqDEKCfOabwsF4tREStiMm32Ni+fbsl6iCiO7T78m68vePtpjfw8QFELbD7PcDOAYrqOoy5e+UREbVKJgchALh48SLWrVuH8+fPo6amxmBdUlKSWQojIuO4qlwBABdKL+BC6YWmN3RU658v7QQAqGpEKQi5qdjCS0S2yeQgtG3bNowYMQLBwcHIyspCjx49cPbsWYiiiN69e1uiRiJqxtOhT8NZ6YzSmtLmN9w+D6i6BkS/CbhpIKuqAfAJAGBYYJzlCyUiaoVMDkKJiYmYNm0a5syZA2dnZ/z444/w8fHB888/j2HDhlmiRiJqhlqhxohOI26/4e+fAyUXAL/+QNBA6CoqkH09CCnlHDxNRLbJ5OsIZWZmYswYfYO6QqFAZWUlnJycMHfuXHz88cdmL5CIzIRT6ImIGjA5CDk6Okrjgtq1a4dTp05J6/Lz881XGRGZF4MQEVEDJneN9evXD6mpqQgLC0N8fDymTp2Kw4cP46effkK/fv0sUSMRmQNvvEpE1IDJQSgpKQllZfp/SOfMmYOysjKsXr0aoaGhnDFG1JqxRYiIqAGTgpBWq8XFixfRq1cvAPpuMl5NmqiN4I1XiYgaMGmMkFwux8MPP4xr165Zqh4ishTeeJWIqAGTB0v36NEDp0+ftkQtRGRJ7BojImrA5CD0wQcfYNq0aVi/fj2uXLmCkpISgwcRtVIMQkREDZg8WDo+Ph4AMGLECAiCIC0XRRGCIECr1ZqvOiIyHykIcdYYEVE93nSVyFZwjBARUQMmB6FBgwZZog4isjR2jRERNWByENq5c2ez6wcOHNjiYojIgpTXp8/XMggREdUzOQjFxMQ0WHbzWCGOESJqpdg1RkTUgMmzxq5du2bwyMvLw+bNm3H//fdjy5YtlqiRiMyBXWNERA2Y3CLk6uraYNnQoUOhVCqRkJCA9PR0sxRGRGbGIERE1IDJLUJN8fX1RXZ2trkOR0TmdnPXmE5n3VqIiFoJk1uE/vjjD4PXoijiypUrmD9/PiIiIsxWGBGZWX2LEESgrhKA0NzWREQ2weQgFBERAUEQIIqiwfJ+/fph+fLlZiuMiMxMYX/j55oKQObY9LZERDbC5CB05swZg9cymQze3t5Qq9VmK4qILEAmA+wc9dPna8oANYMQEZHJY4R27NgBPz8/BAQEICAgABqNBmq1GjU1NVi5cqUlaiQic+GAaSIiAyYHoXHjxqG4uLjB8tLSUowbN84sRRGRhTAIEREZMDkI1d9c9VYXL15sdGo9EbUi0swx3niViAgwYYxQZGQkBEGAIAh46KGHoFDc2FWr1eLMmTMYNmyYRYokIjNhixARkQGjg9ATTzwBAMjIyEBcXBycnJykdUqlEoGBgXj66afNXyERmU99EKqtsG4dRESthNFBaNasWQCAwMBAjBw5krPEiNqi+huvsmuMiAhAC6bPjx071hJ1ENHdwBuvEhEZMDkIabVafPbZZ1izZg3Onz+Pmpoag/WFhYVmK46IzIxjhIiIDJg8a2zOnDlISkrCyJEjUVxcjISEBDz11FOQyWSYPXu2BUokIrNhECIiMmByEPrmm2+wdOlSTJ06FQqFAqNGjcKyZcvw/vvvY8+ePZaokYjMhdPniYgMmByEcnJy0LNnTwCAk5OTdHHFxx57DBs2bDBvdURkXmwRIiIyYHIQ6tChA65cuQIA6NSpE7Zs2QIA+N///geVSmXe6ojIvOzqZ41x+jwREdCCIPTkk09i27ZtAIA333wT7733HkJDQzFmzBi89NJLZi+QiMyIXWNERAZMnjU2f/586eeRI0eiY8eOSEtLQ2hoKIYPH27W4ojIzNg1RkRkwOQgdKvo6GhER0eboxYisjQGISIiAyZ3ja1YscJgUPQ777wDNzc39O/fH+fOnTNrcURkZrygIhGRAZOD0EcffQR7e3sAQFpaGhYuXIhPPvkEXl5emDJlitkLJCIzklqEOEaIiAhoQdfYhQsXEBISAgD4+eef8cwzz+DVV1/FAw88gJiYGHPXR0TmxJuuEhEZMLlFyMnJCQUFBQCALVu2YOjQoQAAtVqNyspK81ZHROZVH4TqqgBtnXVrISJqBUxuERo6dCheeeUVREZG4vjx44iPjwcAHD16FIGBgeauj4jMqT4IAUAdW4WIiExuEVq0aBGio6Nx9epV/Pjjj/D09AQApKenY9SoUWYvkIjMSK4EZNf//4cDpomITG8RcnNzw8KFCxssnzNnjlkKIiILEgR9q1BVMa8uTUSEFrQIEVEbx6tLExFJGISIbI00c4yTG4iIGISIbA2vLk1EJDEpCImiiPPnz6OqqspS9RCRpdkxCBER1TM5CIWEhODChQuWqoeILI0tQkREEpOCkEwmQ2hoqHRBRXNZtGgRAgMDoVarERUVhX379hm13/fffw9BEPDEE0+YtR6iexqvLk1EJDF5jND8+fPx9ttv48iRI2YpYPXq1UhISMCsWbNw4MABhIeHIy4uDnl5ec3ud/bsWUybNg0DBgwwSx1ENoP3GyMikpgchMaMGYN9+/YhPDwc9vb28PDwMHiYKikpCePHj8e4cePQrVs3LFmyBA4ODli+fHmT+2i1Wjz//POYM2cOgoODTT4nkU2Tps+zRYiIyOQLKi5YsMBsJ6+pqUF6ejoSExOlZTKZDEOGDEFaWlqT+82dOxc+Pj54+eWXkZKS0uw5qqurUV1dLb0uKSm588KJ2jJ2jRERSUwOQmPHjjXbyfPz86HVauHr62uw3NfXF1lZWY3uk5qain//+9/IyMgw6hzz5s3jVa+JbqZ00D/XcrA0EVGLriN06tQpzJw5E6NGjZLG8mzatAlHjx41a3G3Ki0txejRo7F06VJ4eXkZtU9iYiKKi4ulB2e8kc2TusYYhIiITA5CO3bsQM+ePbF371789NNPKCvTD7g8dOgQZs2aZdKxvLy8IJfLkZuba7A8NzcXfn5+DbY/deoUzp49i+HDh0OhUEChUGDlypVYt24dFAoFTp061WAflUoFFxcXgweRTZMGS7NrjIjI5CA0ffp0fPDBB9i6dSuUSqW0fPDgwdizZ49Jx1IqlejTpw+2bdsmLdPpdNi2bRuio6MbbN+1a1ccPnwYGRkZ0mPEiBGIjY1FRkYGNBqNqW+HyPbwOkJERBKTxwgdPnwY3377bYPlPj4+yM/PN7mAhIQEjB07Fvfddx/69u2LBQsWoLy8HOPGjQOgn6Xm7++PefPmQa1Wo0ePHgb7u7m5AUCD5UTUhPquMY4RIiIyPQi5ubnhypUrCAoKMlh+8OBB+Pv7m1zAyJEjcfXqVbz//vvIyclBREQENm/eLA2gPn/+PGQy3hKNyGzYNUZEJDE5CP3pT3/Cu+++ix9++AGCIECn02HXrl2YNm0axowZ06IiJk2ahEmTJjW6Ljk5udl9v/rqqxadk8hmMQgREUlMbmr56KOP0LVrV2g0GpSVlaFbt24YOHAg+vfvj5kzZ1qiRiIyJ950lYhIYnKLkFKpxNKlS/H+++/j8OHDKCsrQ2RkJEJDQy1RHxGZm3RBxTIAjlYthYjI2kxuEZo7dy4qKiqg0WgQHx+PZ599FqGhoaisrMTcuXMtUSMRmVN9EBJ11q2DiKgVMDkIzZkzR7p20M0qKip4BWeitkDJViAionomByFRFCEIQoPlhw4datFNV4noLpPJAYW9tasgImoVjB4j5O7uDkEQIAgCOnfubBCGtFotysrK8Nprr1mkSCIyM6UjUFVl7SqIiKzO6CC0YMECiKKIl156CXPmzIGrq6u0TqlUIjAwsNGrQRNRK6R0AFBg7SqIiKzO6CBUf9f5oKAg9O/fH3Z2dhYriogsrP7q0kRENs7k6fODBg2Sfq6qqkJNTY3Bet7UlKgN4IBpIiIALRgsXVFRgUmTJsHHxweOjo5wd3c3eBBRG8AgREQEoAVB6O2338bvv/+OxYsXQ6VSYdmyZZgzZw7at2+PlStXWqJGIjI3do0REQFoQdfYr7/+ipUrVyImJgbjxo3DgAEDEBISgoCAAHzzzTd4/vnnLVEnEZkTW4SIiAC0oEWosLAQwcHBAPTjgQoLCwEADz74IHbu3Gne6ojIMhiEiIgAtCAIBQcH48yZMwCArl27Ys2aNQD0LUVubm7mrY6ILMPOwdoVEBG1CiYHoXHjxuHQoUMAgOnTp2PRokVQq9WYMmUK3n77bbMXSEQWwDFCREQAWjBGaMqUKdLPQ4YMQVZWFtLT0xESEoJevXqZtTgishB2jRERATAhCJ05cwZBQUENlgcEBCAgIMCsRRGRhTEIEREBMKFrrFOnTggKCsJLL72Er7/+GhcvXrRkXURkSewaIyICYEKL0O+//47k5GQkJyfju+++Q01NDYKDgzF48GDExsYiNjYWvr6+lqyViMyFLUJERABMCEIxMTGIiYkBoL+1xu7du6VgtGLFCtTW1qJr1644evSopWolInNRctYYERHQgsHSAKBWqzF48GA8+OCDiI2NxaZNm/DPf/4TWVlZ5q6PiCyBXWNERABMDEI1NTXYs2cPtm/fjuTkZOzduxcajQYDBw7EwoULDW7ISkStGLvGiIgAmBCEBg8ejL179yIoKAiDBg3ChAkT8O2336Jdu3aWrI+ILIFBiIgIgAlBKCUlBe3atcPgwYMRExODQYMGwdPT05K1EZGlsGuMiAiACdPni4qK8K9//QsODg74+OOP0b59e/Ts2ROTJk3C2rVrcfXqVUvWSUTmxBYhIiIAJrQIOTo6YtiwYRg2bBgAoLS0FKmpqdi+fTs++eQTPP/88wgNDcWRI0csViwRmYlCDQgm32GHiOie0+J/CR0dHeHh4QEPDw+4u7tDoVAgMzPTnLURkaUIAqDgFHoiIqNbhHQ6Hfbv34/k5GRs374du3btQnl5Ofz9/REbG4tFixYhNjbWkrUSkTmxe4yIyPgg5ObmhvLycvj5+SE2NhafffYZYmJi0KlTJ0vWR0SWonQAUGXtKoiIrMroIPS3v/0NsbGx6Ny5syXrIaK7RekIBiEisnVGB6EJEyZYsg4iutvsHAEUWLsKIiKr4rQRIlvFMUJERAxCRDZLaW/tCoiIrI5BiMhW8erSREQMQkQ2y47XESIiYhAislUcI0RExCBEZLOUbBEiImIQIrJVHCNERMQgRGSzOEaIiIhBiMhmMQgRETEIEdksDpYmImIQIrJZDEJERAxCRDaLXWNERAxCRDaLs8aIiBiEiGwWryNERMQgRGSzbh4jVFdjvTqIiKyIQYjIVt3cNVZbbr06iIisiEGIyFbJ5Dd+ri61Xh1ERFbEIEREDEJEZLMU1i6gtdJqtaitrbV2GWTj7OzsIJfLb7/hnaops/w5iIhaIQahW4iiiJycHBQVFVm7FCIAgJubG/z8/CAIguVOwhYhIrJRDEK3qA9BPj4+cHBwsOyXD1EzRFFERUUF8vLyAADt2rWz3Mmq2SJERLaJQegmWq1WCkGenp7WLocI9vb2AIC8vDz4+PhYrpususQyxyUiauU4WPom9WOCHBx4oTlqPeo/jxYds8YxQkRkoxiEGsHuMGpN7srnsYpjhIjINjEIEREHSxORzWoVQWjRokUIDAyEWq1GVFQU9u3b1+S2S5cuxYABA+Du7g53d3cMGTKk2e3Jts2ePRsRERFmO95XX30FNzc3sx2v1WDXGBHZKKsHodWrVyMhIQGzZs3CgQMHEB4ejri4OGmmzK2Sk5MxatQobN++HWlpadBoNHj44Ydx6dKlu+GcecMAACAASURBVFx563P16lW8/vrr6NixI1QqFfz8/BAXF4ddu3ZZuzSrmTZtGrZt22btMlo/DpYmIhtl9SCUlJSE8ePHY9y4cejWrRuWLFkCBwcHLF++vNHtv/nmG7zxxhuIiIhA165dsWzZMuh0On7ZAXj66adx8OBBrFixAsePH8e6desQExODgoICa5d214miiLq6Ojg5OXEGoDE4fZ6IbJRVg1BNTQ3S09MxZMgQaZlMJsOQIUOQlpZm1DEqKipQW1sLDw+PRtdXV1ejpKTE4HEvKioqQkpKCj7++GPExsYiICAAffv2RWJiIkaMGIFp06bhsccek7ZfsGABBEHA5s2bpWUhISFYtmxZk+eIiYnB5MmT8c4778DDwwN+fn6YPXu2tP7s2bMQBAEZGRkGdQmCgOTkZAD6Fj1BEPDbb78hMjIS9vb2GDx4MPLy8rBp0yaEhYXBxcUFzz33HCoqKqTj6HQ6zJs3D0FBQbC3t0d4eDjWrl0rra8/7qZNm9CnTx+oVCqkpqY22jW2fPlydO/eHSqVCu3atcOkSZOkdUlJSejZsyccHR2h0WjwxhtvoKzMBkJCDccIEZFtsmoQys/Ph1arha+vr8FyX19f5OTkGHWMd999F+3btzcIUzebN28eXF1dpYdGozGpRlEUUVFTZ5WHKIpG1+nk5AQnJyf8/PPPqK6ubrB+0KBBSE1NhVarBQDs2LEDXl5eUkC5dOkSTp06hZiYmGbPs2LFCjg6OmLv3r345JNPMHfuXGzdutXoOuvNnj0bCxcuxO7du3HhwgU8++yzWLBgAb799lts2LABW7ZswRdffCFtP2/ePKxcuRJLlizB0aNHMWXKFLzwwgvYsWOHwXGnT5+O+fPnIzMzE7169Wpw3sWLF2PixIl49dVXcfjwYaxbtw4hISHSeplMhs8//xxHjx7FihUr8Pvvv+Odd94x+f21OWwRIiIb1aYvqDh//nx8//33SE5OhlqtbnSbxMREJCQkSK9LSkpMCkOVtVp0e/+3O661JY7NjYOD0rg/IoVCga+++grjx4/HkiVL0Lt3bwwaNAh/+v/t3XlcVPX++PHXgDIswyLKJqJoIC4gCi5XS0FNMZW0b2ZyyzCX0rQbGaZmJmm5ZW5lVpboNXPpltbVXxpioKC5QmmSBhfSEjdKVgVkzu8PYnRkERQYnHk/H495DHPO53zO+3w8j5m3n8/nnDNqFJ06daJ3797k5uaSlJREYGAg+/btY9q0aWzfvh0o7VFxd3fXSwoq0qlTJ+bMmQOAt7c377//PrGxsQwYMKBGx/bWW2/x4IMPAjBu3DhmzpxJWloabdq0AWDEiBF8//33TJ8+ncLCQubPn8+ePXvo2bMnAG3atCEhIYGPPvqIoKAgXb1z586tMpa33nqLV155hZdeekm3rFu3brq/IyIidH97enry1ltvMXHiRD744IMaHd99RxIhIYSJMmiPULNmzTA3N+fixYt6yy9evIirq2uV2y5ZsoSFCxfy3XffVfg//zJqtRo7Ozu9l7F6/PHHOX/+PN988w2DBg0iLi6OgIAA3ZVO/v7+xMXFceLECSwsLHjuuedISkoiLy+P+Ph4XUKxf/9+XQ+TRqNh48aNun3c3tZubm6VTmyvyq31uLi4YG1trUuCypaV1ZuamkpBQQEDBgzQi+vf//43aWlpevV27dq10n1eunSJ8+fP079//0rL7Nmzh/79++Pu7o6trS2jR48mKytLb5jOKMnl80IIE2XQHiELCwsCAwOJjY1l+PDhALqJz7fO27jd4sWLefvtt9m9e3eVP3y1waqxOafmhtTpPqrad01ZWloyYMAABgwYwOzZsxk/fjxz5sxhzJgxBAcHExcXh1qtJigoCEdHR9q3b09CQgLx8fG88sorQGkyces8n1uHLhs3bqy3P5VKhVarBUqHlQC9Ib3K7oZ8az0qlarKesvm6OzcuRN3d3e9cmq1Wu+zjY1NZU2je1xFZTIyMhg6dCiTJk3i7bffxtHRkYSEBMaNG0dRUZFx33H8RgFoS8CsHp50L4QQDYjBh8amTp1KeHg4Xbt2pXv37ixfvpz8/HyeffZZAJ555hnc3d1ZsGABAIsWLeKNN97g888/x9PTUzeXqKyXoLapVKpqD081RB06dNANfwUFBbF27VoaNWrEoEGDgNIJ0Js2beLMmTO6+UFWVlZ3HCKriJOTEwCZmZl06dIFQC+hupdjUKvVnD17Vm8YrKZsbW3x9PQkNjaWvn37llt/7NgxtFot7777ri6p27p1613v775TmAtWRniPJCGEqILBf+GffPJJLl++zBtvvMGFCxfo3Lkzu3bt0vVCnD17VvejBKWTXYuKihgxYoRePXPmzNG7gsnUZGVl8cQTTzB27Fg6deqEra0tR48eZfHixQwbNgyAPn36kJuby44dO1i4cCFQmgiNGDECNzc32rZte08xWFlZ8Y9//IOFCxfSunVrLl26xOuvv37Px2Zra0tkZCQvv/wyWq2Whx56iOzsbBITE7GzsyM8PLzadUVFRTFx4kScnZ155JFHyM3NJTExkRdffBEvLy+Ki4t57733CA0NJTExkQ8//PCe479vSCIkhDBBBk+EAKZMmVLpUFjZVU1lMjIy6j6g+5BGo6FHjx4sW7aMtLQ0iouL8fDwYMKECbz22msANGnSBD8/Py5evEi7du2A0uRIq9XeU0/LrdauXcu4ceMIDAzEx8eHxYsXM3DgwHuud968eTg5ObFgwQL+97//4eDgQEBAgO7Yqis8PJzr16+zbNkyIiMjadasmS6p9vf3Z+nSpSxatIiZM2fSp08fFixYwDPPPHPP8d8XZJ6QEMIEqZSaXKNtBHJycrC3tyc7O7vcxOnr16+Tnp5O69atK70KTYj6VlfnpbaggNMBgQD4jMjE7Lnd0LJHrdUvhBC1qarf73th8DtLCyEaCOkREkKYIEmEhBCl5HljQggTJImQEKKU9AgJIUyQJEJCiFKSCAkhTJAkQkKIUpIICSFMkCRCQohSkggJIUyQJEJCiFIyWVoIYYIkERJClJIeISGECZJESAhRShIhIYQJkkRIiBry9PRk+fLltVZfcHAwERERtVbfXZNESAhhghrEs8bEvQsODqZz5861+gMtKnbkyBFsbGwMHUbtu55t6AiEEKLeSY+QiVAUhRs3bhhk30VFRQbZb20rOw4nJyesra0NHE0dkMnSQggTJInQnSgKFOUb5lXN5+GOGTOG+Ph4VqxYgUqlQqVSsW7dOlQqFd9++y2BgYGo1WoSEhJIS0tj2LBhuLi4oNFo6NatG3v27NGrr7CwkOnTp+Ph4YFarcbLy4tPP/1Ut/7kyZM88sgjaDQaXFxcGD16NFeuXNGtDw4OZsqUKURERNCsWTNCQkIqjDsjIwOVSsVXX31F3759sba2xt/fn4MHD+rKREVF0blzZ73tli9fjqenp97xDx8+nPnz5+Pi4oKDgwNz587lxo0bTJs2DUdHR1q0aEF0dLRePefOnWPkyJE4ODjg6OjIsGHDyMjIKFfv22+/TfPmzfHx8QHKD41dvXqV559/HhcXFywtLfH19WXHjh0AZGVlERYWhru7O9bW1vj5+bFp06aq/jkN59pVQ0cghBD1TobG7qS4AOY3N8y+XzsPFnceglmxYgVnzpzB19eXuXPnAvDzzz8DMGPGDJYsWUKbNm1o0qQJ586dY/Dgwbz99tuo1Wr+/e9/ExoayunTp2nZsiUAzzzzDAcPHmTlypX4+/uTnp6uS3SuXr1Kv379GD9+PMuWLePatWtMnz6dkSNHsnfvXl1M69evZ9KkSSQmJt4x/lmzZrFkyRK8vb2ZNWsWYWFhpKam0qhR9U/PvXv30qJFC/bt20diYiLjxo3jwIED9OnTh0OHDrFlyxaef/55BgwYQIsWLSguLiYkJISePXuyf/9+GjVqxFtvvcWgQYP46aefsLCwACA2NhY7OztiYmIq3K9Wq+WRRx4hNzeXzz77jAceeIBTp05hbm4OlD45PjAwkOnTp2NnZ8fOnTsZPXo0DzzwAN27d6/28dWLG9fgRiE0Uhs6EiGEqDeSCBkBe3t7LCwssLa2xtXVFYBffvkFgLlz5zJgwABdWUdHR/z9/XWf582bx7Zt2/jmm2+YMmUKZ86cYevWrcTExPDwww8D0KZNG135999/ny5dujB//nzdsrVr1+Lh4cGZM2do27YtAN7e3ixevLha8UdGRjJkyBAA3nzzTTp27Ehqairt2rWrdhs4OjqycuVKzMzM8PHxYfHixRQUFPDaa68BMHPmTBYuXEhCQgKjRo1iy5YtaLVaPvnkE1QqFQDR0dE4ODgQFxfHwIEDAbCxseGTTz7RJUa327NnD4cPHyYlJUV37Le2l7u7O5GRkbrPL774Irt372br1q0NLxECuJ4DGidDRyGEEPVGEqE7aWxd2jNjqH3fo65du+p9zsvLIyoqip07d5KZmcmNGze4du0aZ8+eBSA5ORlzc3OCgoIqrO/HH3/k+++/R6PRlFuXlpamSwYCAwP11k2cOJHPPvtML44ynTp10v3t5uYGwKVLl2qUCHXs2BEzs5sjvS4uLvj6+uo+m5ub07RpUy5duqQ7jtTUVGxtbfXquX79OmlpabrPfn5+lSZBUNpeLVq00B337UpKSpg/fz5bt27ljz/+oKioiMLCwoY3x8jCFrQ5cP2qJEJCCJMiidCdqFTVGp5qqG6/uikyMpKYmBiWLFmCl5cXVlZWjBgxQjcR2MrKqsr68vLyCA0NZdGiReXWlSUxFe137ty5ej0jt2rcuLHu77LeGa1WC4CZmRnKbXOliouLq6yjrJ6KlpXVm5eXR2BgIBs3bixXl5PTzUTgTleH3am93nnnHVasWMHy5cvx8/PDxsaGiIiIhjeB3NIOCnLkyjEhhMmRRMhIWFhYUFJScsdyiYmJjBkzhsceewwoTQhunSDs5+eHVqslPj5eNzR2q4CAAL788ks8PT1rNIfH2dkZZ2fnapcv4+TkxIULF1AURZckJScn17ie2wUEBLBlyxacnZ2xs7O763o6derE77//rjcseKvExESGDRvG008/DZQmeGfOnKFDhw53vc86YekABb+X9ggJIYQJkavGjISnpyeHDh0iIyODK1eu6Ho+buft7c1XX31FcnIyP/74I//85z/1ynp6ehIeHs7YsWPZvn076enpxMXFsXXrVgAmT57Mn3/+SVhYGEeOHCEtLY3du3fz7LPPVisRq6ng4GAuX77M4sWLSUtLY9WqVXz77bf3XO9TTz1Fs2bNGDZsGPv379cd57/+9S9+//33atcTFBREnz59ePzxx4mJiSE9PZ1vv/2WXbt2AaXtHRMTw4EDB0hJSeH555/n4sWL9xx/rVP/nQxKj5AQwsRIImQkIiMjMTc3p0OHDjg5Oenm/Nxu6dKlNGnShF69ehEaGkpISAgBAQF6ZVavXs2IESN44YUXaNeuHRMmTCA/Px+A5s2bk5iYSElJCQMHDsTPz4+IiAgcHBz05ujUlvbt2/PBBx+watUq/P39OXz4cKVDbDVhbW3Nvn37aNmyJf/3f/9H+/btGTduHNevX69xD9GXX35Jt27dCAsLo0OHDrz66qu6pPD1118nICCAkJAQgoODcXV1Zfjw4fccf62z/PuY5RJ6IYSJUSm3T8Awcjk5Odjb25OdnV3uB+/69eukp6fTunVrLC0tDRShEPrq6rzUFhRwOqB0UrvP3D6YndoM/edA76m1tg8hhKgtVf1+3wvpERJCyNCYEMJkSSIkhLg5NCaTpYUQJkYSISEEWNqXvkuPkBDCxEgiJIQA9d+JkEyWFkKYGEmEhBBg5VD6fu0vw8YhhBD1TBIhIQRYOZa+X/vTsHEIIUQ9k0RICAFWTUrfC6RHSAhhWiQREkLcHBoryoWS8s9yE0IIYyWJkGhwgoODiYiIuKc6MjIyUKlUtfJcsjIqlYrt27fXWn0NiqU9UPosN5knJIQwJZIIGZHLly8zadIkWrZsiVqtxtXVlZCQEBITEw0dWp0aM2ZMucdWeHh4kJmZia+vr4Gius+Ymd+8hF4SISGECZGnzxuRxx9/nKKiItavX0+bNm24ePEisbGxZGVlGTq0emdubo6rq6uhw7i/WDuW3lCxQCZMCyFMh/QIGYmrV6+yf/9+Fi1aRN++fWnVqhXdu3dn5syZPProo0RGRjJ06FBd+eXLl6NSqXRPSQfw8vLik08+qXQfu3bt4qGHHsLBwYGmTZsydOhQ0tLSdOvLhqO++uor+vbti7W1Nf7+/hw8eFBXJisri7CwMNzd3bG2tsbPz49NmzZVus+5c+dW2KvTuXNnZs+eTVRUFOvXr+frr79GpVKhUqmIi4urcGjs559/ZujQodjZ2WFra0vv3r118R85coQBAwbQrFkz7O3tCQoK4vjx43dodSNTNmFarhwTQpgQSYTuQFEUCooLDPKqyfNwNRoNGo2G7du3U1hYWG59UFAQCQkJuqeix8fH06xZM+Li4gD4448/SEtLIzg4uNJ95OfnM3XqVI4ePUpsbCxmZmY89thjaLVavXKzZs0iMjKS5ORk2rZtS1hYGDdu3ABKHyAaGBjIzp07OXnyJM899xyjR4/m8OHDFe5z7NixpKSkcOTIEd2ypKQkfvrpJ5599lkiIyMZOXIkgwYNIjMzk8zMTHr16lWunj/++IM+ffqgVqvZu3cvx44dY+zYsbq4cnNzCQ8PJyEhgR9++AFvb28GDx5Mbm5u5Y1ubHSX0MvQmBDCdMjQ2B1cu3GNHp/3MMi+D/3zENaNratVtlGjRqxbt44JEybw4YcfEhAQQFBQEKNGjaJTp0707t2b3NxckpKSCAwMZN++fUybNk03+TcuLg53d3e8vLwq3cfjjz+u93nt2rU4OTlx6tQpvV6byMhIhgwZAsCbb75Jx44dSU1NpV27dri7uxMZGakr++KLL7J79262bt1K9+7dy+2zRYsWhISEEB0dTbdu3QCIjo4mKCiINm3aAGBlZUVhYWGVQ2GrVq3C3t6ezZs307hxYwDatm2rW9+vXz+98h9//DEODg7Ex8fr9aQZNeu/EyEZGhNCmBDpETIijz/+OOfPn+ebb75h0KBBxMXFERAQwLp163BwcMDf35+4uDhOnDiBhYUFzz33HElJSeTl5REfH09QUBAA+/fv1/UwaTQaNm7cCMCvv/5KWFgYbdq0wc7ODk9PTwDOnj2rF0enTp10f7u5uQFw6dIlAEpKSpg3bx5+fn44Ojqi0WjYvXt3uTpuNWHCBDZt2sT169cpKiri888/Z+zYsTVqm+TkZHr37q1Lgm538eJFJkyYgLe3N/b29tjZ2ZGXl1dlXEZHbqoohDBB0iN0B1aNrDj0z0MG23dNWVpaMmDAAAYMGMDs2bMZP348c+bMYcyYMQQHBxMXF4darSYoKAhHR0fat29PQkIC8fHxvPLKKwB07dpVb26Ni4sLAKGhobRq1Yo1a9bQvHlztFotvr6+FBUV6cVwa7KhUpVekl02fPbOO++wYsUKli9fjp+fHzY2NkRERJSr41ahoaGo1Wq2bduGhYUFxcXFjBgxokbtYmVVdVuGh4eTlZXFihUraNWqFWq1mp49e1YZl9HR3VRREiEhhOmQROgOVCpVtYenGqIOHTrohr+CgoJYu3YtjRo1YtCgQUDpPXs2bdrEmTNndPODrKysyg2RZWVlcfr0adasWUPv3r0BSEhIqHE8iYmJDBs2jKeffhooTZDOnDlDhw4dKt2mUaNGhIeHEx0djYWFBaNGjdJLbCwsLHRznyrTqVMn1q9fT3FxcYW9QomJiXzwwQcMHjwYgHPnznHlypUaH999zaZp6XuB6V1lKIQwXTI0ZiSysrLo168fn332GT/99BPp6el88cUXLF68mGHDhgHQp08fcnNz2bFjhy7pCQ4OZuPGjbi5uenNmbldkyZNaNq0KR9//DGpqans3buXqVOn1jhOb29vYmJiOHDgACkpKTz//PNcvHjxjtuNHz+evXv3smvXrnLDYp6envz000+cPn2aK1euUFxc/s7IU6ZMIScnh1GjRnH06FF+/fVXNmzYwOnTp3VxbdiwgZSUFA4dOsRTTz11x14ko2PjXPqef9mwcQghRD2SRMhIaDQaevTowbJly+jTpw++vr7Mnj2bCRMm8P777wOlyYyfnx9OTk60a9cOKE2OtFqtbn5QZczMzNi8eTPHjh3D19eXl19+mXfeeafGcb7++usEBAQQEhJCcHAwrq6u5W6GWBFvb2969epFu3bt6NFDf/L6hAkT8PHxoWvXrjg5OVV4A8mmTZuyd+9e8vLyCAoKIjAwkDVr1uh6hz799FP++usvAgICGD16NP/6179wdnau8fHd12ycSt8lERJCmBCVUpNrtI1ATk4O9vb2ZGdnY2dnp7fu+vXrpKen07p1aywtLQ0UoaiIoih4e3vzwgsv3FVP1P2srs5LbUEBpwMCAfA5fgyzgvPwfiCo7WDmuVrbjxBC1Iaqfr/vhcwREg3e5cuX2bx5MxcuXODZZ581dDjGy6ZZ6XthDhRfh8bynwEhhPGTREg0eM7OzjRr1oyPP/6YJk2aGDoc42VpD2aNQVtcOjzm4GHoiIQQos5JIiQaPBMbvTUclap0nlDueUmEhBAmQyZLCyFu0pRNmDaxWwcIIUyWJEJCiJvkyjEhhImRREgIcZMuEbpk2DiEEKKeSCIkhLipLBHKvfNNLoUQwhhIIiSEuMnOvfQ95w/DxiGEEPVEEiEhxE32ZYnQecPGIYQQ9UQSIWH0MjIyUKlUJCcn31M9UVFRdO7cuZaignXr1uHg4FBr9dUKu+al79IjJIQwEZIIGYng4GAiIiIMHYbRUKlUbN++XW9ZZGQksbGxBoqonti1KH3PvQAl5R9eK4QQxkYSIROhKAo3btwwyL6LiooMst/aptFoaNq0qaHDqFs2TmDWCFAgTyZMCyGMnyRCRmDMmDHEx8ezYsUKVCoVKpWKdevWoVKp+PbbbwkMDEStVpOQkEBaWhrDhg3DxcUFjUZDt27d2LNnj159hYWFTJ8+HQ8PD9RqNV5eXnz66ae69SdPnuSRRx5Bo9Hg4uLC6NGjuXLl5g34goODmTJlChERETRr1oyQkJBKY58+fTpt27bF2tqaNm3aMHv2bIqLb/ZElA1HbdiwAU9PT+zt7Rk1ahS5ubm6Mrt27eKhhx7CwcGBpk2bMnToUNLS0ircn6IoeHl5sWTJEr3lycnJqFQqUlNT8fT0BOCxxx5DpVLpPlc0NLZ27Vo6duyIWq3Gzc2NKVOm6NYtXboUPz8/bGxs8PDw4IUXXiAvL6/StmgQzMzA9u/hsWwZHhNCGD9JhO5AURS0BQUGeVX30RIrVqygZ8+eTJgwgczMTDIzM/HwKH08wowZM1i4cCEpKSl06tSJvLw8Bg8eTGxsLElJSQwaNIjQ0FDOnj2rq++ZZ55h06ZNrFy5kpSUFD766CM0Gg0AV69epV+/fnTp0oWjR4+ya9cuLl68yMiRI/ViWr9+PRYWFiQmJvLhhx9WGrutrS3r1q3j1KlTrFixgjVr1rBs2TK9MmlpaWzfvp0dO3awY8cO4uPjWbhwoW59fn4+U6dO5ejRo8TGxmJmZsZjjz2GVqsttz+VSsXYsWOJjo7WWx4dHU2fPn3w8vLiyJEjumWZmZm6z7dbvXo1kydP5rnnnuPEiRN88803eHl56dabmZmxcuVKfv75Z9avX8/evXt59dVXK22LBsNerhwTQpgQpQF4//33lVatWilqtVrp3r27cujQoSrLb926VfHx8VHUarXi6+ur7Ny5s9r7ys7OVgAlOzu73Lpr164pp06dUq5du6ZbVpKfr5zyaWeQV0l+frWPKygoSHnppZd0n7///nsFULZv337HbTt27Ki89957iqIoyunTpxVAiYmJqbDsvHnzlIEDB+otO3funAIop0+f1sXSpUuXasd+q3feeUcJDAzUfZ4zZ45ibW2t5OTk6JZNmzZN6dGjR6V1XL58WQGUEydOKIqiKOnp6QqgJCUlKYqiKH/88Ydibm6uO8+KioqUZs2aKevWrdPVASjbtm3Tq3fOnDmKv7+/7nPz5s2VWbNmVfvYvvjiC6Vp06a6z9HR0Yq9vf0dt6vovKwNt57beufaf8Yryhw7RYlbVKv7E0KIe1HV7/e9MHiP0JYtW5g6dSpz5szh+PHj+Pv7ExISwqVLFd/Z9sCBA4SFhTFu3DiSkpIYPnw4w4cP5+TJk/Uc+f2ha9euep/z8vKIjIykffv2ODg4oNFoSElJ0fUIJScnY25uTlBQUIX1/fjjj3z//fdoNBrdq127dgB6w1GBgYF6202cOFFvmzJbtmzhwQcfxNXVFY1Gw+uvv67XOwXg6emJra2t7rObm5ve+fHrr78SFhZGmzZtsLOz0w1l3V5PmebNmzNkyBDWrl0LwH//+18KCwt54oknKixfkUuXLnH+/Hn69+9faZk9e/bQv39/3N3dsbW1ZfTo0WRlZVFQUFDt/RiE+9//ducOGzYOIYSoBwZ/+vzSpUuZMGECzz77LAAffvghO3fuZO3atcyYMaNc+RUrVjBo0CCmTZsGwLx584iJieH999+vcgjmbqmsrPA5fqzW663uvu+VjY2N3ufIyEhiYmJYsmQJXl5eWFlZMWLECN2EZqs77DMvL4/Q0FAWLVpUbp2bm1ul+507dy6RkZF6yw4ePMhTTz3Fm2++SUhICPb29mzevJl3331Xr1zjxo31PqtUKr1hr9DQUFq1asWaNWto3rw5Wq0WX1/fKidpjx8/ntGjR7Ns2TKio6N58sknsba2rvLYb3WndsrIyGDo0KFMmjSJt99+G0dHRxISEhg3bhxFRUU12le98+he+v77EdBqS+cNCSGEkTJoIlRUVMSxY8eYOXOmBTlEJAAAEJVJREFUbpmZmRkPP/wwBw8erHCbgwcPMnXqVL1lISEh5S51ri0qlQpVQ/7R+puFhQUlJSV3LJeYmMiYMWN47LHHgNLEJiMjQ7fez88PrVZLfHw8Dz/8cLntAwIC+PLLL/H09KRRo+qfPs7Ozjg7O+stO3DgAK1atWLWrFm6Zb/99lu16wTIysri9OnTrFmzht69ewOQkJBwx+0GDx6MjY0Nq1evZteuXezbt09vfePGjatsT1tbWzw9PYmNjaVv377l1h87dgytVsu7776L2d+JxNatW2tyaPVKe+3azQ92DwBWkJcNhzeAc3soLoCiPCjKL30VXwOqN4dNCGGCbJxQBYxEpVIZOpI7MmgidOXKFUpKSnBxcdFb7uLiwi+//FLhNhcuXKiw/IULFyosX1hYSGFhoe5zTk7OPUbdMHl6enLo0CEyMjLQaDQVThQG8Pb25quvviI0NBSVSsXs2bP1ynp6ehIeHs7YsWNZuXIl/v7+/Pbbb1y6dImRI0cyefJk1qxZQ1hYGK+++iqOjo6kpqayefNmPvnkE8zNzasds7e3N2fPnmXz5s1069aNnTt3sm3bthodd5MmTWjatCkff/wxbm5unD17tsKexNuZm5szZswYZs6cibe3Nz179tRbX5bkPPjgg6jVapo0aVKujqioKCZOnIizszOPPPIIubm5JCYm8uKLL+Ll5UVxcTHvvfceoaGhd5w0bmi/PvjQbUv+Pt7/LCxXVgghqsPneOh90ZFg9H3eCxYswN7eXvcqu5rK2ERGRmJubk6HDh1wcnKqdH7M0qVLadKkCb169SI0NJSQkBACAgL0yqxevZoRI0bwwgsv0K5dOyZMmEB+fj5QOr8mMTGRkpISBg4ciJ+fHxERETg4OOh6Pqrr0Ucf5eWXX2bKlCl07tyZAwcOMHv27BrVYWZmxubNmzl27Bi+vr68/PLLvPPOO9XatmyYqmxY9lbvvvsuMTExeHh40KVLlwq3Dw8PZ/ny5XzwwQd07NiRoUOH8uuvvwLg7+/P0qVLWbRoEb6+vmzcuJEFCxbU6NjqmsrKCqvb/u2FEMLUqBSlmtdo14GyuRL/+c9/GD58uG55eHg4V69e5euvvy63TcuWLZk6dareXZTnzJnD9u3b+fHHH8uVr6hHyMPDg+zsbOzs7PTKXr9+nfT0dFq3bo2lpWVtHKJowPbv30///v05d+5cuV7GhqQuz0tFUVBuHRYTQohaorKyqtWhsZycHOzt7Sv8/b4XBh0as7CwIDAwkNjYWF0ipNVqiY2N1bsx3a169uxJbGysXiIUExNTbmijjFqtRq1W137w4r5VWFjI5cuXiYqK4oknnmjQSVBdu1/mwAkhRF0x+NDY1KlTWbNmDevXryclJYVJkyaRn5+vG6545pln9CZTv/TSS+zatYt3332XX375haioKI4ePVpp4iTE7TZt2kSrVq24evUqixcvNnQ4QgghDMjgl88/+eSTXL58mTfeeIMLFy7QuXNndu3apftf+tmzZ/XmnvTq1YvPP/+c119/nddeew1vb2+2b9+Or6+voQ5B3GfGjBnDmDFjDB2GEEKIBsCgc4QMoaoxRpkjJBoiOS+FEKLu5ggZfGhMCCGEEMJQJBGqgIl1kokGTs5HIYSoO5II3aLsUQ4N/llQwqSUnY+3P2pECCHEvTP4ZOmGxNzcHAcHB90DPa2tre+L24ML46QoCgUFBVy6dAkHB4ca3bVbCCFE9UgidBtXV1cAvaebC2FIDg4OuvNSCCFE7ZJE6DYqlQo3NzecnZ0pLi42dDjCxDVu3Fh6goQQog5JIlQJc3Nz+QESQgghjJxMlhZCCCGEyZJESAghhBAmSxIhIYQQQpgsk5sjVHZzupycHANHIoQQQojqKvvdru2bzJpcIpSbmwuAh4eHgSMRQgghRE1lZWVhb29fa/WZ3ENXtVot58+fx9bWttZvlpiTk4OHhwfnzp2r1QfC3Y+kLfRJe+iT9rhJ2kKftIc+aY+bsrOzadmyJX/99RcODg61Vq/J9QiZmZnRokWLOt2HnZ2dyZ+wZaQt9El76JP2uEnaQp+0hz5pj5vMzGp3erNMlhZCCCGEyZJESAghhBAmyzwqKirK0EEYE3Nzc4KDg2nUyORGHcuRttAn7aFP2uMmaQt90h76pD1uqou2MLnJ0kIIIYQQZWRoTAghhBAmSxIhIYQQQpgsSYSEEEIIYbIkERJCCCGEyZJEqIZWrVqFp6cnlpaW9OjRg8OHD1dZ/osvvqBdu3ZYWlri5+fH//t//6+eIq17NWmLdevWoVKp9F6Wlpb1GG3d2rdvH6GhoTRv3hyVSsX27dvvuE1cXBwBAQGo1Wq8vLxYt25d3QdaD2raFnFxceXODZVKxYULF+op4rqzYMECunXrhq2tLc7OzgwfPpzTp0/fcTtj/d64m/Yw5u+O1atX06lTJ93NEnv27Mm3335b5TbGem7UtC1q87yQRKgGtmzZwtSpU5kzZw7Hjx/H39+fkJAQLl26VGH5AwcOEBYWxrhx40hKSmL48OEMHz6ckydP1nPkta+mbQGld0bNzMzUvX777bd6jLhu5efn4+/vz6pVq6pVPj09nSFDhtC3b1+Sk5OJiIhg/Pjx7N69u44jrXs1bYsyp0+f1js/nJ2d6yjC+hMfH8/kyZP54YcfiImJobi4mIEDB5Kfn1/pNsb8vXE37QHG+93RokULFi5cyLFjxzh69Cj9+vVj2LBh/PzzzxWWN+Zzo6ZtAbV4Xiii2rp3765MnjxZ97mkpERp3ry5smDBggrLjxw5UhkyZIjesh49eijPP/98ncZZH2raFtHR0Yq9vX19hWdQgLJt27Yqy7z66qtKx44d9ZY9+eSTSkhISF2GVu+q0xbff/+9Aih//fVXPUVlOJcuXVIAJT4+vtIyxvy9cbvqtIcpfXcoiqI0adJE+eSTTypcZ0rnhqJU3Ra1eV5Ij1A1FRUVcezYMR5++GHdMjMzMx5++GEOHjxY4TYHDx7UKw8QEhJSafn7xd20BUBeXh6tWrXCw8Pjjpm+sTPWc+NedO7cGTc3NwYMGEBiYqKhw6kT2dnZADg6OlZaxpTOjeq0B5jGd0dJSQmbN28mPz+fnj17VljGVM6N6rQF1N55IYlQNV25coWSkhJcXFz0lru4uFQ6l+HChQs1Kn+/uJu28PHxYe3atXz99dd89tlnaLVaevXqxe+//14fITc4lZ0bOTk5XLt2zUBRGYabmxsffvghX375JV9++SUeHh4EBwdz/PhxQ4dWq7RaLRERETz44IP4+vpWWs5YvzduV932MPbvjhMnTqDRaFCr1UycOJFt27bRoUOHCssa+7lRk7aozfNC7tct6kXPnj31MvtevXrRvn17PvroI+bNm2fAyISh+fj44OPjo/vcq1cv0tLSWLZsGRs2bDBgZLVr8uTJnDx5koSEBEOH0iBUtz2M/bvDx8eH5ORksrOz+c9//kN4eDjx8fGVJgDGrCZtUZvnhSRC1dSsWTPMzc25ePGi3vKLFy/i6upa4Taurq41Kn+/uJu2uF3jxo3p0qULqampdRFig1fZuWFnZ4eVlZWBomo4unfvblQJw5QpU9ixYwf79u2jRYsWVZY11u+NW9WkPW5nbN8dFhYWeHl5ARAYGMiRI0dYsWIFH330Ubmyxn5u1KQtbncv54UMjVWThYUFgYGBxMbG6pZptVpiY2MrHcPs2bOnXnmAmJiYKsc87wd30xa3Kykp4cSJE7i5udVVmA2asZ4btSU5Odkozg1FUZgyZQrbtm1j7969tG7d+o7bGPO5cTftcTtj/+7QarUUFhZWuM6Yz42KVNUWt7un86JWplybiM2bNytqtVpZt26dcurUKeW5555THBwclAsXLiiKoiijR49WZsyYoSufmJioNGrUSFmyZImSkpKizJkzR2ncuLFy4sQJQx1CralpW7z55pvK7t27lbS0NOXYsWPKqFGjFEtLS+Xnn3821CHUqtzcXCUpKUlJSkpSAGXp0qVKUlKS8ttvvymKoigzZsxQRo8erSv/v//9T7G2tlamTZumpKSkKKtWrVLMzc2VXbt2GeoQak1N22LZsmXK9u3blV9//VU5ceKE8tJLLylmZmbKnj17DHUItWbSpEmKvb29EhcXp2RmZupeBQUFujKm9L1xN+1hzN8dM2bMUOLj45X09HTlp59+UmbMmKGoVCrlu+++UxTFtM6NmrZFbZ4XkgjV0Hvvvae0bNlSsbCwULp376788MMPunVBQUFKeHi4XvmtW7cqbdu2VSwsLJSOHTsqO3furOeI605N2iIiIkJX1sXFRRk8eLBy/PhxA0RdN8ouAb/9VdYG4eHhSlBQULltOnfurFhYWCht2rRRoqOj6z3uulDTtli0aJHywAMPKJaWloqjo6MSHBys7N271zDB17KK2gHQ+7c2pe+Nu2kPY/7uGDt2rNKqVSvFwsJCcXJyUvr376/74VcU0zo3atoWtXleqBRFUWrejySEEEIIcf+TOUJCCCGEMFmSCAkhhBDCZEkiJIQQQgiTJYmQEEIIIUyWJEJCCCGEMFmSCAkhhBDCZEkiJIQQQgiTJYmQEMLoqVQqVCoVDg4OVZaLiorSlV2+fHk9RSeEMCRJhIQQ95X169fz0EMPAeDp6VnthCU6OpozZ85UWSYyMpLMzMwaPwhUCHH/kqfPCyHuK19//TWPPvpojbdzcHDA2dm5yjIajQaNRoO5ufndhieEuM9Ij5AQwuAuX76Mq6sr8+fP1y07cOAAFhYWek/bvn79Ot999x2PPvoowcHB/Pbbb7z88su64SwhhKgpSYSEEAbn5OTE2rVriYqK4ujRo+Tm5jJ69GimTJlC//79deViY2Nxd3enXbt2fPXVV7Ro0YK5c+eSmZlJZmamAY9ACHG/kqExIUSDMHjwYCZMmMBTTz1F165dsbGxYcGCBXplbh0Wc3R0xNzcHFtbW1xdXQ0RshDCCEiPkBCiwViyZAk3btzgiy++YOPGjajVat06RVH473//e1fzg2539uxZ3XwgjUajNyQnhDAt0iMkhGgw0tLSOH/+PFqtloyMDPz8/HTrDh8+zI0bN+jVq9c976d58+YkJyfrPjs6Ot5znUKI+5MkQkKIBqGoqIinn36aJ598Eh8fH8aPH8+JEyd0V3p9/fXXDBkyRO+KLgsLC0pKSmq8r0aNGuHl5VVrsQsh7l8yNCaEaBBmzZpFdnY2K1euZPr06bRt25axY8fq1n/zzTflhsU8PT3Zt28ff/zxB1euXKnvkIUQRkASISGEwcXFxbF8+XI2bNiAnZ0dZmZmbNiwgf3797N69WrS0tJITU0lJCREb7u5c+eSkZHBAw88gJOTk4GiF0Lcz2RoTAhhcMHBwRQXF+st8/T0JDs7G4ClS5fSr18/bGxs9Mr84x//4Mcff6y3OIUQxkd6hIQQDV6LFi2YOXPmPdURFhZ2x0dnzJ8/H41Gw9mzZ+9pX0KI+4dKURTF0EEIIURdSk1NBcDc3JzWrVtXWu7PP//kzz//BEpv8mhvb18v8QkhDEcSISGEEEKYLBkaE0IIIYTJkkRICCGEECZLEiEhhBBCmCxJhIQQQghhsiQREkIIIYTJkkRICCGEECZLEiEhhBBCmCxJhIQQQghhsiQREkIIIYTJ+v9pYjGY0iQgzgAAAABJRU5ErkJggg==",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num, label = \"Sw-numerical\")\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1-c_old, label = \"tracer-numerical\")\n",
    "plot(ls_res_ter.saturation_profile_xt[:,1], ls_res_ter.saturation_profile_xt[:,2], label = \"Sw-analytical\")\n",
    "plot(ls_res_ter.tracer_profile_xt[:,1], ls_res_ter.tracer_profile_xt[:,2], label = \"tracer-analytical\")\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")\n",
    "title(\"Tertiary low sal water flood\")\n",
    "legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The correct solution\n",
    "To construct the correct saturation profile, I assumed that we should follow the same procedure, but interpret the results in the right way. It means that the low salinity shock front saturation is represented by the intersection of the red line (see the solution procedure above) and the low salinity fractional flow curve (orange curve). This interpretation produces the following results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "low sal sw_shock = 0.7233666450788676\n",
      "low sal breakthrough time = 0.7792345274868723\n",
      "high sal sw_shock = 0.5577460825529506\n",
      "high sal breakthrough time = 0.8522910391556234\n",
      "sw_shock = 0.7870029917024813\n",
      "low sal breakthrough time = 1.9087615410426133\n",
      "swmax 0.8224218409093991\n"
     ]
    }
   ],
   "source": [
    "ls_res_ter = FF.single_ion_adsorption_water_flood_single_shock(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood, 0.0)\n",
    "\n",
    "figure()\n",
    "FF.visualize_solution(ls_res_ter)\n",
    "figure()\n",
    "FF.visualize_profiles(ls_res_ter)\n",
    "title(\"Secondary low-sal\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress:  99%|█████████████████████████████████████████|  ETA: 0:00:00\u001b[39m"
     ]
    }
   ],
   "source": [
    "t_sec, pv_num, rec_fact, xt_num, sw_num, c_old, c_out_sal = \n",
    "    FF.forced_imb_implicit_upwind(core_props, fluids_ls, fluids_hs, rel_perms_hs, \n",
    "        rel_perms_ls, core_flood);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(xt_num/(core_props.length)/pv_num[end], sw_num, label = \"Sw-numerical\")\n",
    "plot(xt_num/(core_props.length)/pv_num[end], 1-c_old, label = \"tracer-numerical\")\n",
    "plot(ls_res_ter.saturation_profile_xt[:,1], ls_res_ter.saturation_profile_xt[:,2], label = \"Sw-analytical\")\n",
    "plot(ls_res_ter.tracer_profile_xt[:,1], ls_res_ter.tracer_profile_xt[:,2], label = \"tracer-analytical\")\n",
    "xlabel(\"x/t [-]\")\n",
    "ylabel(\"Water saturation [-]\")\n",
    "title(\"Tertiary low sal water flood\")\n",
    "legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above solution assumes that there is no adsorption of ions on the rock surface. However, it is quite easy to include the adsorption in the equations and in the solution procedure.  \n",
    "If the above solution is correct, it explains several issues with the observations in the lab. for instance, sometimes the extra oil recovery observed before the breakthrough of the injected low salinity water. Sometimes, the tertiary recovery is extremely slow and needs the injection of many pore volumes of water. It is explained by the above fractional flow solution very well. I can probably think of other issues that I have observed in the lab."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.6.2",
   "language": "julia",
   "name": "julia-0.6"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
